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104274564320304 = 24337318110840091
BaseRepresentation
bin10111101101011001010000…
…010111011000110000110000
3111200012112212200012211222000
4113231121100113120300300
5102131413301431222204
61005435023515014000
730651405624312330
oct2755312027306060
9450175780184860
10104274564320304
113025265a143454
12b84113873a300
1346250841b2221
141ba6cb70d90c0
15c0c649da6039
hex5ed6505d8c30

104274564320304 has 160 divisors (see below), whose sum is σ = 342172273620480. Its totient is φ = 29783364076800.

The previous prime is 104274564320299. The next prime is 104274564320309. The reversal of 104274564320304 is 403023465472401.

104274564320304 is a `hidden beast` number, since 1 + 0 + 4 + 27 + 4 + 564 + 32 + 0 + 30 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (104274564320299) and next prime (104274564320309).

It is a self number, because there is not a number n which added to its sum of digits gives 104274564320304.

It is not an unprimeable number, because it can be changed into a prime (104274564320309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4199299 + ... + 15039389.

It is an arithmetic number, because the mean of its divisors is an integer number (2138576710128).

Almost surely, 2104274564320304 is an apocalyptic number.

104274564320304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104274564320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171086136810240).

104274564320304 is an abundant number, since it is smaller than the sum of its proper divisors (237897709300176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104274564320304 is a wasteful number, since it uses less digits than its factorization.

104274564320304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10843296 (or 10843284 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 104274564320304 in words is "one hundred four trillion, two hundred seventy-four billion, five hundred sixty-four million, three hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 3181 6362 9543 12724 19086 22267 25448 28629 38172 44534 50896 57258 66801 76344 85887 89068 114516 133602 152688 171774 178136 200403 229032 267204 343548 356272 400806 458064 534408 601209 687096 801612 1068816 1202418 1374192 1603224 2404836 3206448 4809672 9619344 10840091 21680182 32520273 43360364 65040546 75880637 86720728 97560819 130081092 151761274 173441456 195121638 227641911 260162184 292682457 303522548 390243276 455283822 520324368 585364914 607045096 682925733 780486552 910567644 1170729828 1214090192 1365851466 1560973104 1821135288 2048777199 2341459656 2731702932 3642270576 4097554398 4682919312 5463405864 8195108796 10926811728 16390217592 32780435184 34482329471 68964658942 103446988413 137929317884 206893976826 241376306297 275858635768 310340965239 413787953652 482752612594 551717271536 620681930478 724128918891 827575907304 931022895717 965505225188 1241363860956 1448257837782 1655151814608 1862045791434 1931010450376 2172386756673 2482727721912 2896515675564 3724091582868 3862020900752 4344773513346 4965455443824 5793031351128 6517160270019 7448183165736 8689547026692 11586062702256 13034320540038 14896366331472 17379094053384 26068641080076 34758188106768 52137282160152 104274564320304