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13701904361136 = 2432413137414643
BaseRepresentation
bin1100011101100011100100…
…1001000110011010110000
31210111220000021101111101100
43013120321021012122300
53243443000004024021
645050322403004400
72612633651260245
oct307307111063260
953456007344340
1013701904361136
114402a43893072
121653630069700
13785112824c64
1435526620b5cc
1518b640a0e626
hexc76392466b0

13701904361136 has 120 divisors (see below), whose sum is σ = 39407083004016. Its totient is φ = 4441667143680.

The previous prime is 13701904361029. The next prime is 13701904361227. The reversal of 13701904361136 is 63116340910731.

13701904361136 is a `hidden beast` number, since 1 + 3 + 70 + 1 + 90 + 4 + 361 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13701904361091 and 13701904361100.

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, 1859370 + ... + 5555273.

Almost surely, 213701904361136 is an apocalyptic number.

13701904361136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13701904361136 is an abundant number, since it is smaller than the sum of its proper divisors (25705178642880).

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

13701904361136 is a wasteful number, since it uses less digits than its factorization.

13701904361136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7415011 (or 7415002 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13701904361136 in words is "thirteen trillion, seven hundred one billion, nine hundred four million, three hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 313 328 369 492 626 656 738 939 984 1252 1476 1878 1968 2504 2817 2952 3756 5008 5634 5904 7512 11268 12833 15024 22536 25666 38499 45072 51332 76998 102664 115497 153996 205328 230994 307992 461988 615984 923976 1847952 7414643 14829286 22243929 29658572 44487858 59317144 66731787 88975716 118634288 133463574 177951432 266927148 304000363 355902864 533854296 608000726 912001089 1067708592 1216001452 1824002178 2320783259 2432002904 2736003267 3648004356 4641566518 4864005808 5472006534 6962349777 7296008712 9283133036 10944013068 13924699554 14592017424 18566266072 20887049331 21888026136 27849399108 37132532144 41774098662 43776052272 55698798216 83548197324 95152113619 111397596432 167096394648 190304227238 285456340857 334192789296 380608454476 570912681714 761216908952 856369022571 1141825363428 1522433817904 1712738045142 2283650726856 3425476090284 4567301453712 6850952180568 13701904361136