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326681025825 = 352711123145953
BaseRepresentation
bin1001100000011111011…
…01001101110100100001
31011020012221222120110210
410300033231031310201
520323020320311300
6410024124044333
732413313621550
oct4601755156441
91136187876423
10326681025825
111165a9a16970
12533909936a9
1324a626ca15b
1411b50871d97
15876ec38050
hex4c0fb4dd21

326681025825 has 96 divisors (see below), whose sum is σ = 673948864512. Its totient is φ = 135650304000.

The previous prime is 326681025821. The next prime is 326681025851. The reversal of 326681025825 is 528520186623.

It is not a de Polignac number, because 326681025825 - 22 = 326681025821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (326681025821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7086049 + ... + 7132001.

It is an arithmetic number, because the mean of its divisors is an integer number (7020300672).

Almost surely, 2326681025825 is an apocalyptic number.

326681025825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

326681025825 is an abundant number, since it is smaller than the sum of its proper divisors (347267838687).

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

326681025825 is a wasteful number, since it uses less digits than its factorization.

326681025825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47215 (or 47210 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 326681025825 in words is "three hundred twenty-six billion, six hundred eighty-one million, twenty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1231 1925 3693 5775 6155 8617 13541 18465 25851 30775 40623 43085 45953 67705 92325 94787 129255 137859 203115 215425 229765 284361 321671 338525 473935 505483 646275 689295 965013 1015575 1148825 1421805 1516449 1608355 2369675 2527415 3446475 3538381 4825065 7109025 7582245 8041775 10615143 12637075 17691905 24125325 37911225 53075715 56568143 88459525 169704429 265378575 282840715 395977001 622249573 848522145 1187931003 1414203575 1866748719 1979885005 3111247865 4242610725 4355747011 5939655015 9333743595 9899425025 13067241033 15556239325 21778735055 29698275075 46668717975 65336205165 108893675275 326681025825