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25921000672 = 2573116322901
BaseRepresentation
bin11000001001000000…
…110001010011100000
32110220110221021012221
4120021000301103200
5411041234010142
615524041000424
71605226604350
oct301100612340
973813837187
1025921000672
11aaa1802506
125034a83114
1325a12a3928
14137c80cb60
15a1a99b767
hex6090314e0

25921000672 has 96 divisors (see below), whose sum is σ = 60575606784. Its totient is φ = 10684224000.

The previous prime is 25921000663. The next prime is 25921000709. The reversal of 25921000672 is 27600012952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120422 + ... + 1143322.

It is an arithmetic number, because the mean of its divisors is an integer number (630995904).

Almost surely, 225921000672 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 25921000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30287803392).

25921000672 is an abundant number, since it is smaller than the sum of its proper divisors (34654606112).

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

25921000672 is a wasteful number, since it uses less digits than its factorization.

25921000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23112 (or 23104 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 25921000672 in words is "twenty-five billion, nine hundred twenty-one million, six hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 163 217 224 248 326 434 496 652 868 992 1141 1304 1736 2282 2608 3472 4564 5053 5216 6944 9128 10106 18256 20212 22901 35371 36512 40424 45802 70742 80848 91604 141484 160307 161696 183208 282968 320614 366416 565936 641228 709931 732832 1131872 1282456 1419862 2564912 2839724 3732863 4969517 5129824 5679448 7465726 9939034 11358896 14931452 19878068 22717792 26130041 29862904 39756136 52260082 59725808 79512272 104520164 115718753 119451616 159024544 209040328 231437506 418080656 462875012 810031271 836161312 925750024 1620062542 1851500048 3240125084 3703000096 6480250168 12960500336 25921000672