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13513773104 = 24131929611933
BaseRepresentation
bin11001001010111101…
…11101000000110000
31021212210112210122222
430211132331000300
5210134011214404
610112543020212
7655612114256
oct144536750060
937783483588
1013513773104
115805199827
12275189a668
131374969b60
14922aa85d6
155415dadbe
hex3257bd030

13513773104 has 160 divisors (see below), whose sum is σ = 31224043200. Its totient is φ = 5608673280.

The previous prime is 13513773041. The next prime is 13513773109. The reversal of 13513773104 is 40137731531.

It is not an unprimeable number, because it can be changed into a prime (13513773109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6990122 + ... + 6992054.

It is an arithmetic number, because the mean of its divisors is an integer number (195150270).

Almost surely, 213513773104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13513773104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15612021600).

13513773104 is an abundant number, since it is smaller than the sum of its proper divisors (17710270096).

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

13513773104 is a wasteful number, since it uses less digits than its factorization.

13513773104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The spelling of 13513773104 in words is "thirteen billion, five hundred thirteen million, seven hundred seventy-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 29 38 52 58 61 76 104 116 122 152 208 232 244 247 304 377 464 488 494 551 754 793 976 988 1102 1159 1508 1586 1769 1933 1976 2204 2318 3016 3172 3538 3866 3952 4408 4636 6032 6344 7076 7163 7732 8816 9272 12688 14152 14326 15067 15464 18544 22997 25129 28304 28652 30134 30928 33611 36727 45994 50258 56057 57304 60268 67222 73454 91988 100516 112114 114608 117913 120536 134444 146908 183976 201032 224228 235826 241072 268888 293816 367952 402064 436943 448456 471652 477451 537776 587632 728741 873886 896912 943304 954902 1065083 1457482 1532869 1747772 1886608 1909804 2130166 2240347 2914964 3065738 3419477 3495544 3819608 4260332 4480694 5829928 6131476 6838954 6991088 7639216 8520664 8961388 11659856 12262952 13677908 13846079 17041328 17922776 24525904 27355816 27692158 29124511 35845552 44453201 54711632 55384316 58249022 64970063 88906402 110768632 116498044 129940126 177812804 221537264 232996088 259880252 355625608 465992176 519760504 711251216 844610819 1039521008 1689221638 3378443276 6756886552 13513773104