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13106428992 = 263331244669
BaseRepresentation
bin11000011010011010…
…00011110001000000
31020211102001120121000
430031031003301000
5203320221211432
610004312132000
7642534544146
oct141515036100
936742046530
1013106428992
1156162680a8
122659397000
13130b456837
148c4951596
1551a97657c
hex30d343c40

13106428992 has 112 divisors (see below), whose sum is σ = 39773555200. Its totient is φ = 4227863040.

The previous prime is 13106428991. The next prime is 13106429029. The reversal of 13106428992 is 29982460131.

13106428992 is a `hidden beast` number, since 131 + 0 + 6 + 428 + 9 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (13106428991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68767 + ... + 175902.

Almost surely, 213106428992 is an apocalyptic number.

13106428992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13106428992 is an abundant number, since it is smaller than the sum of its proper divisors (26667126208).

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

13106428992 is a wasteful number, since it uses less digits than its factorization.

13106428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244721 (or 244705 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13106428992 in words is "thirteen billion, one hundred six million, four hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 53568 244669 489338 734007 978676 1468014 1957352 2202021 2936028 3914704 4404042 5872056 6606063 7584739 7829408 8808084 11744112 13212126 15169478 15658816 17616168 22754217 23488224 26424252 30338956 35232336 45508434 46976448 52848504 60677912 68262651 70464672 91016868 105697008 121355824 136525302 140929344 182033736 204787953 211394016 242711648 273050604 364067472 409575906 422788032 485423296 546101208 728134944 819151812 1092202416 1456269888 1638303624 2184404832 3276607248 4368809664 6553214496 13106428992