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15068286051 = 37134371101179
BaseRepresentation
bin11100000100010001…
…11100110001100011
31102220010122020112120
432002020330301203
5221324440123201
610531113355323
71042256214060
oct160210746143
942803566476
1015068286051
116432722375
122b06408b43
131561a376c0
14a2d31bc67
155d2d02536
hex38223cc63

15068286051 has 128 divisors (see below), whose sum is σ = 26057687040. Its totient is φ = 7535808000.

The previous prime is 15068286047. The next prime is 15068286067.

15068286051 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 15068286051 - 22 = 15068286047 is a prime.

It is a super-2 number, since 2×150682860512 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15068285994 and 15068286012.

It is not an unprimeable number, because it can be changed into a prime (15068286071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84180280 + ... + 84180458.

It is an arithmetic number, because the mean of its divisors is an integer number (203575680).

Almost surely, 215068286051 is an apocalyptic number.

15068286051 is a deficient number, since it is larger than the sum of its proper divisors (10989400989).

15068286051 is a wasteful number, since it uses less digits than its factorization.

15068286051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417.

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 15068286051 in words is "fifteen billion, sixty-eight million, two hundred eighty-six thousand, fifty-one".

Divisors: 1 3 7 13 21 39 43 71 91 101 129 179 213 273 301 303 497 537 559 707 903 923 1253 1313 1491 1677 2121 2327 2769 3053 3759 3913 3939 4343 6461 6981 7171 7697 9159 9191 11739 12709 13029 16289 18079 19383 21371 21513 23091 27573 30401 38127 39689 48867 50197 53879 54237 56459 64113 88963 91203 93223 100061 119067 126553 150591 161637 165217 169377 235027 266889 277823 279669 300183 308353 379659 395213 495651 546487 652561 700427 705081 777397 833469 925059 1156519 1185639 1283609 1639461 1645189 1957683 2101281 2158471 2332191 3469557 3825409 3850827 4008589 4935567 5441779 6475413 7104331 8985263 10106161 11476227 12025767 16325337 16686917 21312993 26955789 28060123 30318483 49730317 50060751 55195187 70743127 84180369 116808419 149190951 165585561 212229381 350425257 386366309 717537431 1159098927 2152612293 5022762017 15068286051