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10872594252 = 22331316134801
BaseRepresentation
bin10100010000000111…
…01001111101001100
31001001201201000102000
422020003221331030
5134231341004002
64554513232300
7533301345342
oct121003517514
931051630360
1010872594252
11467a328a93
122135262690
131043709930
14751dc7992
154397c461c
hex2880e9f4c

10872594252 has 96 divisors (see below), whose sum is σ = 30381677760. Its totient is φ = 3342643200.

The previous prime is 10872594223. The next prime is 10872594277. The reversal of 10872594252 is 25249527801.

10872594252 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 2 + 594 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10872594198 and 10872594207.

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, 2262252 + ... + 2267052.

It is an arithmetic number, because the mean of its divisors is an integer number (316475810).

Almost surely, 210872594252 is an apocalyptic number.

10872594252 is a gapful number since it is divisible by the number (12) 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 10872594252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190838880).

10872594252 is an abundant number, since it is smaller than the sum of its proper divisors (19509083508).

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

10872594252 is a wasteful number, since it uses less digits than its factorization.

10872594252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10872594252 in words is "ten billion, eight hundred seventy-two million, five hundred ninety-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1613 3226 4801 4839 6452 9602 9678 14403 14517 19204 19356 20969 28806 29034 41938 43209 43551 57612 58068 62413 62907 83876 86418 87102 124826 125814 129627 172836 174204 187239 188721 249652 251628 259254 374478 377442 518508 561717 566163 748956 754884 1123434 1132326 1685151 2246868 2264652 3370302 6740604 7744013 15488026 23232039 30976052 46464078 69696117 92928156 100672169 139392234 201344338 209088351 278784468 302016507 402688676 418176702 604033014 836353404 906049521 1208066028 1812099042 2718148563 3624198084 5436297126 10872594252