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13157621640 = 2333512795929
BaseRepresentation
bin11000100000100000…
…10101111110001000
31020221222101102201000
430100100111332020
5203421322343030
610013341255000
7644025636642
oct142020257610
936858342630
1013157621640
115642152979
122672564460
131318c3ba47
148cb679892
155201d9860
hex310415f88

13157621640 has 128 divisors (see below), whose sum is σ = 44204544000. Its totient is φ = 3481035264.

The previous prime is 13157621623. The next prime is 13157621651. The reversal of 13157621640 is 4612675131.

13157621640 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 7 + 6 + 2 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13157621595 and 13157621604.

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, 89196 + ... + 185124.

It is an arithmetic number, because the mean of its divisors is an integer number (345348000).

Almost surely, 213157621640 is an apocalyptic number.

13157621640 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 13157621640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102272000).

13157621640 is an abundant number, since it is smaller than the sum of its proper divisors (31046922360).

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

13157621640 is a wasteful number, since it uses less digits than its factorization.

13157621640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96076 (or 96066 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13157621640 in words is "thirteen billion, one hundred fifty-seven million, six hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 127 135 180 216 254 270 360 381 508 540 635 762 1016 1080 1143 1270 1524 1905 2286 2540 3048 3429 3810 4572 5080 5715 6858 7620 9144 11430 13716 15240 17145 22860 27432 34290 45720 68580 95929 137160 191858 287787 383716 479645 575574 767432 863361 959290 1151148 1438935 1726722 1918580 2302296 2590083 2877870 3453444 3837160 4316805 5180166 5755740 6906888 8633610 10360332 11511480 12182983 12950415 17267220 20720664 24365966 25900830 34534440 36548949 48731932 51801660 60914915 73097898 97463864 103603320 109646847 121829830 146195796 182744745 219293694 243659660 292391592 328940541 365489490 438587388 487319320 548234235 657881082 730978980 877174776 1096468470 1315762164 1461957960 1644702705 2192936940 2631524328 3289405410 4385873880 6578810820 13157621640