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11679299856 = 2432741927653
BaseRepresentation
bin10101110000010001…
…11111100100010000
31010010221122220110100
422320020333210100
5142404400043411
65210531532400
7562265260620
oct127010774420
933127586410
1011679299856
114a53729934
12231b45a100
131141899a23
147cb1ba880
15485523456
hex2b823f910

11679299856 has 120 divisors (see below), whose sum is σ = 37445728320. Its totient is φ = 3328858368.

The previous prime is 11679299843. The next prime is 11679299873. The reversal of 11679299856 is 65899297611.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 11679299793 and 11679299802.

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, 408526 + ... + 436178.

It is an arithmetic number, because the mean of its divisors is an integer number (312047736).

Almost surely, 211679299856 is an apocalyptic number.

11679299856 is a gapful number since it is divisible by the number (16) 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 11679299856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722864160).

11679299856 is an abundant number, since it is smaller than the sum of its proper divisors (25766428464).

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

11679299856 is a wasteful number, since it uses less digits than its factorization.

11679299856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28093 (or 28084 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 63.

The spelling of 11679299856 in words is "eleven billion, six hundred seventy-nine million, two hundred ninety-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 419 504 838 1008 1257 1676 2514 2933 3352 3771 5028 5866 6704 7542 8799 10056 11732 15084 17598 20112 23464 26397 27653 30168 35196 46928 52794 55306 60336 70392 82959 105588 110612 140784 165918 193571 211176 221224 248877 331836 387142 422352 442448 497754 580713 663672 774284 995508 1161426 1327344 1548568 1742139 1991016 2322852 3097136 3484278 3982032 4645704 6968556 9291408 11586607 13937112 23173214 27874224 34759821 46346428 69519642 81106249 92692856 104279463 139039284 162212498 185385712 208558926 243318747 278078568 324424996 417117852 486637494 556157136 648849992 729956241 834235704 973274988 1297699984 1459912482 1668471408 1946549976 2919824964 3893099952 5839649928 11679299856