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30925995264 = 283317263191
BaseRepresentation
bin11100110011010101…
…010011110100000000
32221211021201100002000
4130303111103310000
51001314023322024
622112431224000
72143242423333
oct346325236400
987737640060
1030925995264
111212aa10a7a
125bb1078000
132bbb1909a8
1416d541061a
15c1008ccc9
hex733553d00

30925995264 has 144 divisors (see below), whose sum is σ = 96833600640. Its totient is φ = 9702236160.

The previous prime is 30925995263. The next prime is 30925995271. The reversal of 30925995264 is 46259952903.

It is a happy number.

30925995264 is a `hidden beast` number, since 3 + 0 + 9 + 25 + 99 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 30925995264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30925995263) 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, 14092 + ... + 249099.

It is an arithmetic number, because the mean of its divisors is an integer number (672455560).

Almost surely, 230925995264 is an apocalyptic number.

30925995264 is a gapful number since it is divisible by the number (34) 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 30925995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48416800320).

30925995264 is an abundant number, since it is smaller than the sum of its proper divisors (65907605376).

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

30925995264 is a wasteful number, since it uses less digits than its factorization.

30925995264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263233 (or 263213 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 30925995264 in words is "thirty billion, nine hundred twenty-five million, nine hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4896 6528 6912 7344 9792 13056 14688 19584 29376 39168 58752 117504 263191 526382 789573 1052764 1579146 2105528 2368719 3158292 4211056 4474247 4737438 6316584 7106157 8422112 8948494 9474876 12633168 13422741 14212314 16844224 17896988 18949752 25266336 26845482 28424628 33688448 35793976 37899504 40268223 50532672 53690964 56849256 67376896 71587952 75799008 80536446 101065344 107381928 113698512 120804669 143175904 151598016 161072892 202130688 214763856 227397024 241609338 286351808 303196032 322145784 429527712 454794048 483218676 572703616 606392064 644291568 859055424 909588096 966437352 1145407232 1288583136 1718110848 1819176192 1932874704 2577166272 3436221696 3865749408 5154332544 7731498816 10308665088 15462997632 30925995264