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13136385680 = 2451119241351
BaseRepresentation
bin11000011101111110…
…10101011010010000
31020220111102112102222
430032333111122100
5203400403320210
610011302200212
7643350302345
oct141677253220
936814375388
1013136385680
115631168aa0
122667423068
131314714ba2
148c890c7cc
1551d3e2655
hex30efd5690

13136385680 has 120 divisors (see below), whose sum is σ = 35165409984. Its totient is φ = 4525344000.

The previous prime is 13136385667. The next prime is 13136385683. The reversal of 13136385680 is 8658363131.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (13136385683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297005 + ... + 338355.

Almost surely, 213136385680 is an apocalyptic number.

13136385680 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 13136385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582704992).

13136385680 is an abundant number, since it is smaller than the sum of its proper divisors (22029024304).

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

13136385680 is a wasteful number, since it uses less digits than its factorization.

13136385680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41413 (or 41388 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 13136385680 in words is "thirteen billion, one hundred thirty-six million, three hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 361 380 418 440 722 760 836 880 1045 1444 1520 1672 1805 2090 2888 3344 3610 3971 4180 5776 7220 7942 8360 14440 15884 16720 19855 28880 31768 39710 41351 63536 79420 82702 158840 165404 206755 317680 330808 413510 454861 661616 785669 827020 909722 1571338 1654040 1819444 2274305 3142676 3308080 3638888 3928345 4548610 6285352 7277776 7856690 8642359 9097220 12570704 14927711 15713380 17284718 18194440 29855422 31426760 34569436 36388880 43211795 59710844 62853520 69138872 74638555 86423590 119421688 138277744 149277110 164204821 172847180 238843376 298554220 328409642 345694360 597108440 656819284 691388720 821024105 1194216880 1313638568 1642048210 2627277136 3284096420 6568192840 13136385680