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25830000936 = 23324734921871
BaseRepresentation
bin11000000011100101…
…101000100100101000
32110200010201000001100
4120003211220210220
5410344440012221
615511030321400
71603043246115
oct300345504450
973603630040
1025830000936
11aa553a9013
12500a4b9260
13258849192c
1413706c190c
15a129c3926
hex603968928

25830000936 has 96 divisors (see below), whose sum is σ = 71652672000. Its totient is φ = 8402279040.

The previous prime is 25830000929. The next prime is 25830000941. The reversal of 25830000936 is 63900003852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 25830000936.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1170081 + ... + 1191951.

It is an arithmetic number, because the mean of its divisors is an integer number (746382000).

Almost surely, 225830000936 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 25830000936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35826336000).

25830000936 is an abundant number, since it is smaller than the sum of its proper divisors (45822671064).

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

25830000936 is a wasteful number, since it uses less digits than its factorization.

25830000936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22279 (or 22272 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 25830000936 in words is "twenty-five billion, eight hundred thirty million, nine hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 349 376 423 564 698 846 1047 1128 1396 1692 2094 2792 3141 3384 4188 6282 8376 12564 16403 21871 25128 32806 43742 49209 65612 65613 87484 98418 131224 131226 147627 174968 196836 196839 262452 295254 393672 393678 524904 590508 787356 1027937 1181016 1574712 2055874 3083811 4111748 6167622 7632979 8223496 9251433 12335244 15265958 18502866 22898937 24670488 30531916 37005732 45797874 61063832 68696811 74011464 91595748 137393622 183191496 274787244 358750013 549574488 717500026 1076250039 1435000052 2152500078 2870000104 3228750117 4305000156 6457500234 8610000312 12915000468 25830000936