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25320012264 = 2334283138071
BaseRepresentation
bin10111100101001100…
…001011100111101000
32102100121001220010000
4113211030023213220
5403323410343024
615344251423000
71554311360511
oct274514134750
972317056100
1025320012264
11a813539a78
124aa7754a60
1325069201a1
141322a89a08
159d2d35cc9
hex5e530b9e8

25320012264 has 80 divisors (see below), whose sum is σ = 71170593120. Its totient is φ = 8410119840.

The previous prime is 25320012251. The next prime is 25320012269. The reversal of 25320012264 is 46221002352.

It is a happy number.

25320012264 is a `hidden beast` number, since 2 + 532 + 0 + 0 + 122 + 6 + 4 = 666.

It is a super-2 number, since 2×253200122642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25320012269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114349 + ... + 252419.

It is an arithmetic number, because the mean of its divisors is an integer number (889632414).

Almost surely, 225320012264 is an apocalyptic number.

25320012264 is a gapful number since it is divisible by the number (24) 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 25320012264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35585296560).

25320012264 is an abundant number, since it is smaller than the sum of its proper divisors (45850580856).

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

25320012264 is a wasteful number, since it uses less digits than its factorization.

25320012264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138372 (or 138359 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 25320012264 in words is "twenty-five billion, three hundred twenty million, twelve thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 283 324 566 648 849 1132 1698 2264 2547 3396 5094 6792 7641 10188 15282 20376 22923 30564 45846 61128 91692 138071 183384 276142 414213 552284 828426 1104568 1242639 1656852 2485278 3313704 3727917 4970556 7455834 9941112 11183751 14911668 22367502 29823336 39074093 44735004 78148186 89470008 117222279 156296372 234444558 312592744 351666837 468889116 703333674 937778232 1055000511 1406667348 2110001022 2813334696 3165001533 4220002044 6330003066 8440004088 12660006132 25320012264