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102090023594928 = 24321757117302301
BaseRepresentation
bin10111001101100110101111…
…100101110110101110110000
3111101110201012021102211112100
4113031212233211312232300
5101340120332020014203
61001043302005500400
730334521645444615
oct2715465745665660
9441421167384470
10102090023594928
112a590154924296
12b549892411700
1344c7081371085
141b2d27d78250c
15bc08e0c39ea3
hex5cd9af976bb0

102090023594928 has 120 divisors (see below), whose sum is σ = 302569773420096. Its totient is φ = 32022630144000.

The previous prime is 102090023594869. The next prime is 102090023594941. The reversal of 102090023594928 is 829495320090201.

102090023594928 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 9 + 0 + 0 + 23 + 594 + 9 + 28 = 666.

It is a super-2 number, since 2×1020900235949282 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10329378 + ... + 17631678.

Almost surely, 2102090023594928 is an apocalyptic number.

102090023594928 is a gapful number since it is divisible by the number (18) 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 102090023594928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151284886710048).

102090023594928 is an abundant number, since it is smaller than the sum of its proper divisors (200479749825168).

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

102090023594928 is a wasteful number, since it uses less digits than its factorization.

102090023594928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308043 (or 7308034 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 102090023594928 in words is "one hundred two trillion, ninety billion, twenty-three million, five hundred ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 5711 11422 17133 22844 34266 45688 51399 68532 91376 97087 102798 137064 194174 205596 274128 291261 388348 411192 582522 776696 822384 873783 1165044 1553392 1747566 2330088 3495132 4660176 6990264 7302301 13980528 14604602 21906903 29209204 43813806 58418408 65720709 87627612 116836816 124139117 131441418 175255224 248278234 262882836 350510448 372417351 496556468 525765672 744834702 993112936 1051531344 1117252053 1489669404 1986225872 2234504106 2979338808 4469008212 5958677616 8938016424 17876032848 41703441011 83406882022 125110323033 166813764044 250220646066 333627528088 375330969099 500441292132 667255056176 708958497187 750661938198 1000882584264 1417916994374 1501323876396 2001765168528 2126875491561 2835833988748 3002647752792 4253750983122 5671667977496 6005295505584 6380626474683 8507501966244 11343335954992 12761252949366 17015003932488 25522505898732 34030007864976 51045011797464 102090023594928