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10252110912 = 263436120357
BaseRepresentation
bin10011000110001001…
…01100110001000000
3222110111011012021120
421203010230301000
5131444020022122
64413150152240
7512025335121
oct114304546100
928414135246
1010252110912
11439105a73a
121ba14b2680
13c74cbb924
146d382c048
154000ac75c
hex26312cc40

10252110912 has 112 divisors (see below), whose sum is σ = 28212604992. Its totient is φ = 3283015680.

The previous prime is 10252110901. The next prime is 10252110917. The reversal of 10252110912 is 21901125201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10252110917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493438 + ... + 513794.

Almost surely, 210252110912 is an apocalyptic number.

10252110912 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 10252110912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106302496).

10252110912 is an abundant number, since it is smaller than the sum of its proper divisors (17960494080).

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

10252110912 is a wasteful number, since it uses less digits than its factorization.

10252110912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20476 (or 20466 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 10252110912 in words is "ten billion, two hundred fifty-two million, one hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 61 64 86 96 122 129 172 183 192 244 258 344 366 488 516 688 732 976 1032 1376 1464 1952 2064 2623 2752 2928 3904 4128 5246 5856 7869 8256 10492 11712 15738 20357 20984 31476 40714 41968 61071 62952 81428 83936 122142 125904 162856 167872 244284 251808 325712 488568 503616 651424 875351 977136 1241777 1302848 1750702 1954272 2483554 2626053 3501404 3725331 3908544 4967108 5252106 7002808 7450662 9934216 10504212 14005616 14901324 19868432 21008424 28011232 29802648 39736864 42016848 53396411 56022464 59605296 79473728 84033696 106792822 119210592 160189233 168067392 213585644 238421184 320378466 427171288 640756932 854342576 1281513864 1708685152 2563027728 3417370304 5126055456 10252110912