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13257556260 = 22351388319249
BaseRepresentation
bin11000101100011011…
…00100000100100100
31021012221102122020020
430112031210010210
5204122413300020
610031311235140
7646351240344
oct142615440444
937187378206
1013257556260
1156935aa273
12269bb18ab0
13133385b860
148daa50d24
15528d79c40
hex316364124

13257556260 has 96 divisors (see below), whose sum is σ = 40023984000. Its totient is φ = 3259533312.

The previous prime is 13257556211. The next prime is 13257556283. The reversal of 13257556260 is 6265575231.

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 31 ways as a sum of consecutive naturals, for example, 679116 + ... + 698364.

It is an arithmetic number, because the mean of its divisors is an integer number (416916500).

Almost surely, 213257556260 is an apocalyptic number.

13257556260 is a gapful number since it is divisible by the number (10) 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 13257556260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20011992000).

13257556260 is an abundant number, since it is smaller than the sum of its proper divisors (26766427740).

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

13257556260 is a wasteful number, since it uses less digits than its factorization.

13257556260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20157 (or 20155 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 13257556260 in words is "thirteen billion, two hundred fifty-seven million, five hundred fifty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 883 1766 2649 3532 4415 5298 8830 10596 11479 13245 17660 19249 22958 26490 34437 38498 45916 52980 57395 57747 68874 76996 96245 114790 115494 137748 172185 192490 229580 230988 250237 288735 344370 384980 500474 577470 688740 750711 1000948 1154940 1251185 1501422 2502370 3002844 3753555 5004740 7507110 15014220 16996867 33993734 50990601 67987468 84984335 101981202 169968670 203962404 220959271 254953005 339937340 441918542 509906010 662877813 883837084 1019812020 1104796355 1325755626 2209592710 2651511252 3314389065 4419185420 6628778130 13257556260