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10089956625 = 35376121033
BaseRepresentation
bin10010110010110100…
…01000010100010001
3222001012000220102020
421121122020110101
5131131012103000
64345114442053
7505016134110
oct113132102421
928035026366
1010089956625
114308576831
121b57133329
13c4a525748
146ba09bc77
153e0c2bba0
hex259688511

10089956625 has 96 divisors (see below), whose sum is σ = 19526817024. Its totient is φ = 4532544000.

The previous prime is 10089956621. The next prime is 10089956627. The reversal of 10089956625 is 52665998001.

It is not a de Polignac number, because 10089956625 - 22 = 10089956621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10089956621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9767109 + ... + 9768141.

It is an arithmetic number, because the mean of its divisors is an integer number (203404344).

Almost surely, 210089956625 is an apocalyptic number.

10089956625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10089956625 is a deficient number, since it is larger than the sum of its proper divisors (9436860399).

10089956625 is an equidigital number, since it uses as much as digits as its factorization.

10089956625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 10089956625 in words is "ten billion, eighty-nine million, nine hundred fifty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 61 75 105 125 175 183 305 375 427 525 875 915 1033 1281 1525 2135 2625 3099 3721 4575 5165 6405 7231 7625 10675 11163 15495 18605 21693 22875 25825 26047 32025 36155 53375 55815 63013 77475 78141 93025 108465 129125 130235 160125 180775 189039 279075 315065 387375 390705 441091 465125 542325 651175 903875 945195 1323273 1395375 1575325 1953525 2205455 2711625 3255875 3843793 4725975 6616365 7876625 9767625 11027275 11531379 19218965 23629875 26906551 33081825 55136375 57656895 80719653 96094825 134532755 165409125 288284475 403598265 480474125 672663775 1441422375 2017991325 3363318875 10089956625