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104827064320 = 212511465319
BaseRepresentation
bin110000110100000101…
…1100001000000000000
3101000120120121121122201
41201220023201000000
53204141212024240
6120053515442544
710400466226216
oct1415013410000
9330516547581
10104827064320
1140503165a60
1218396456454
139b6789ba14
145106186cb6
152ad7dd0d9a
hex18682e1000

104827064320 has 104 divisors (see below), whose sum is σ = 274423400640. Its totient is φ = 38118850560.

The previous prime is 104827064311. The next prime is 104827064333. The reversal of 104827064320 is 23460728401.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 104827064320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7380 + ... + 457939.

Almost surely, 2104827064320 is an apocalyptic number.

104827064320 is a gapful number since it is divisible by the number (10) 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 104827064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137211700320).

104827064320 is an abundant number, since it is smaller than the sum of its proper divisors (169596336320).

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

104827064320 is an equidigital number, since it uses as much as digits as its factorization.

104827064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465359 (or 465337 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 104827064320 in words is "one hundred four billion, eight hundred twenty-seven million, sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5632 7040 10240 11264 14080 20480 22528 28160 45056 56320 112640 225280 465319 930638 1861276 2326595 3722552 4653190 5118509 7445104 9306380 10237018 14890208 18612760 20474036 25592545 29780416 37225520 40948072 51185090 59560832 74451040 81896144 102370180 119121664 148902080 163792288 204740360 238243328 297804160 327584576 409480720 476486656 595608320 655169152 818961440 952973312 1191216640 1310338304 1637922880 1905946624 2382433280 2620676608 3275845760 4764866560 5241353216 6551691520 9529733120 10482706432 13103383040 20965412864 26206766080 52413532160 104827064320