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102078419366832 = 243192329167808233
BaseRepresentation
bin10111001101011011111011…
…111011001111001110110000
3111101102121020120000222011120
4113031123323323033032300
5101334423100324214312
61001034102314542240
730333631251233046
oct2715337373171660
9441377216028146
10102078419366832
112a58623a60aa37
12b547594137980
1344c5c521ca50c
141b2c89c548396
15bc04620e528c
hex5cd6fbecf3b0

102078419366832 has 160 divisors (see below), whose sum is σ = 299638382630400. Its totient is φ = 29770522822656.

The previous prime is 102078419366821. The next prime is 102078419366843. The reversal of 102078419366832 is 238663914870201.

It is an interprime number because it is at equal distance from previous prime (102078419366821) and next prime (102078419366843).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83295813 + ... + 84512420.

It is an arithmetic number, because the mean of its divisors is an integer number (1872739891440).

Almost surely, 2102078419366832 is an apocalyptic number.

102078419366832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102078419366832 is an abundant number, since it is smaller than the sum of its proper divisors (197559963263568).

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

102078419366832 is a wasteful number, since it uses less digits than its factorization.

102078419366832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167808315 (or 167808309 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 102078419366832 in words is "one hundred two trillion, seventy-eight billion, four hundred nineteen million, three hundred sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 29 38 46 48 57 58 69 76 87 92 114 116 138 152 174 184 228 232 276 304 348 368 437 456 464 551 552 667 696 874 912 1102 1104 1311 1334 1392 1653 1748 2001 2204 2622 2668 3306 3496 4002 4408 5244 5336 6612 6992 8004 8816 10488 10672 12673 13224 16008 20976 25346 26448 32016 38019 50692 76038 101384 152076 202768 304152 608304 167808233 335616466 503424699 671232932 1006849398 1342465864 2013698796 2684931728 3188356427 3859589359 4027397592 4866438757 6376712854 7719178718 8054795184 9565069281 9732877514 11578768077 12753425708 14599316271 15438357436 19130138562 19465755028 23157536154 25506851416 29198632542 30876714872 38260277124 38931510056 46315072308 51013702832 58397265084 61753429744 73332197821 76520554248 77863020112 92462336383 92630144616 111928091411 116794530168 146664395642 153041108496 184924672766 185260289232 219996593463 223856182822 233589060336 277387009149 293328791284 335784274233 369849345532 439993186926 447712365644 554774018298 586657582568 671568548466 739698691064 879986373852 895424731288 1109548036596 1173315165136 1343137096932 1479397382128 1759972747704 1790849462576 2126633736809 2219096073192 2686274193864 3519945495408 4253267473618 4438192146384 5372548387728 6379901210427 8506534947236 12759802420854 17013069894472 25519604841708 34026139788944 51039209683416 102078419366832