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13315625136 = 24321171118399
BaseRepresentation
bin11000110011010110…
…00101000010110000
31021100222200211202100
430121223011002300
5204232300001021
610041144020400
7650654642352
oct143153050260
937328624670
1013315625136
115713361280
1226b7461700
1313428b0838
149046490d2
1552deea626
hex319ac50b0

13315625136 has 120 divisors (see below), whose sum is σ = 41225932800. Its totient is φ = 3978172800.

The previous prime is 13315625117. The next prime is 13315625153. The reversal of 13315625136 is 63152651331.

13315625136 is a `hidden beast` number, since 1 + 3 + 3 + 15 + 625 + 13 + 6 = 666.

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 13315625136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53265 + ... + 171663.

It is an arithmetic number, because the mean of its divisors is an integer number (343549440).

Almost surely, 213315625136 is an apocalyptic number.

13315625136 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 13315625136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612966400).

13315625136 is an abundant number, since it is smaller than the sum of its proper divisors (27910307664).

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

13315625136 is a wasteful number, since it uses less digits than its factorization.

13315625136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118495 (or 118486 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The spelling of 13315625136 in words is "thirteen billion, three hundred fifteen million, six hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 71 72 88 99 132 142 144 176 198 213 264 284 396 426 528 568 639 781 792 852 1136 1278 1562 1584 1704 2343 2556 3124 3408 4686 5112 6248 7029 9372 10224 12496 14058 18744 28116 37488 56232 112464 118399 236798 355197 473596 710394 947192 1065591 1302389 1420788 1894384 2131182 2604778 2841576 3907167 4262364 5209556 5683152 7814334 8406329 8524728 10419112 11721501 15628668 16812658 17049456 20838224 23443002 25218987 31257336 33625316 46886004 50437974 62514672 67250632 75656961 92469619 93772008 100875948 134501264 151313922 184939238 187544016 201751896 277408857 302627844 369878476 403503792 554817714 605255688 739756952 832226571 1109635428 1210511376 1479513904 1664453142 2219270856 3328906284 4438541712 6657812568 13315625136