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10091012076 = 223412721931
BaseRepresentation
bin10010110010111100…
…01001111111101100
3222001021000112020000
421121132021333230
5131131244341301
64345153224300
7505031121165
oct113136117754
928037015200
1010091012076
114309127802
121b57562090
13c4a804c82
146ba29476c
153e0d89786
hex259789fec

10091012076 has 90 divisors (see below), whose sum is σ = 26603019828. Its totient is φ = 3335456880.

The previous prime is 10091012053. The next prime is 10091012093. The reversal of 10091012076 is 67021019001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5224831 + ... + 5226761.

Almost surely, 210091012076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10091012076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13301509914).

10091012076 is an abundant number, since it is smaller than the sum of its proper divisors (16512007752).

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

10091012076 is a wasteful number, since it uses less digits than its factorization.

10091012076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 10091012076 in words is "ten billion, ninety-one million, twelve thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 508 762 1143 1524 1931 2286 3429 3862 4572 5793 6858 7724 10287 11586 13716 16129 17379 20574 23172 32258 34758 41148 48387 52137 64516 69516 96774 104274 145161 156411 193548 208548 245237 290322 312822 435483 490474 580644 625644 735711 870966 980948 1306449 1471422 1741932 2207133 2612898 2942844 4414266 5225796 6621399 8828532 13242798 19864197 26485596 31145099 39728394 62290198 79456788 93435297 124580396 186870594 280305891 373741188 560611782 840917673 1121223564 1681835346 2522753019 3363670692 5045506038 10091012076