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13025604256 = 257618910711
BaseRepresentation
bin11000010000110001…
…01111001010100000
31020121202222020220021
430020120233022200
5203134023314011
65552303523224
7640533544420
oct141030571240
936552866807
1013025604256
1155846832a5
1226362b9514
1312c7797c52
148b7d12480
1551380d471
hex30862f2a0

13025604256 has 96 divisors (see below), whose sum is σ = 30125571840. Its totient is φ = 5428684800.

The previous prime is 13025604197. The next prime is 13025604257. The reversal of 13025604256 is 65240652031.

It is not an unprimeable number, because it can be changed into a prime (13025604257) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1210741 + ... + 1221451.

It is an arithmetic number, because the mean of its divisors is an integer number (313808040).

Almost surely, 213025604256 is an apocalyptic number.

13025604256 is a gapful number since it is divisible by the number (16) 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 13025604256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062785920).

13025604256 is an abundant number, since it is smaller than the sum of its proper divisors (17099967584).

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

13025604256 is a wasteful number, since it uses less digits than its factorization.

13025604256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10878 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 13025604256 in words is "thirteen billion, twenty-five million, six hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 89 112 122 178 224 244 356 427 488 623 712 854 976 1246 1424 1708 1952 2492 2848 3416 4984 5429 6832 9968 10711 10858 13664 19936 21422 21716 38003 42844 43432 74977 76006 85688 86864 149954 152012 171376 173728 299908 304024 342752 599816 608048 653371 953279 1199632 1216096 1306742 1906558 2399264 2613484 3813116 4573597 5226968 6672953 7626232 9147194 10453936 13345906 15252464 18294388 20907872 26691812 30504928 36588776 53383624 58150019 73177552 106767248 116300038 146355104 213534496 232600076 407050133 465200152 814100266 930400304 1628200532 1860800608 3256401064 6512802128 13025604256