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21679970676 = 223713170911617
BaseRepresentation
bin10100001100001110…
…100001100101110100
32001221220200121202220
4110030032201211310
5323400033030201
613543141002340
71365151465410
oct241416414564
961856617686
1021679970676
119215861941
1242506b33b0
132076760620
141099475d40
1586d4b5036
hex50c3a1974

21679970676 has 96 divisors (see below), whose sum is σ = 62302222080. Its totient is φ = 5713956864.

The previous prime is 21679970671. The next prime is 21679970677. The reversal of 21679970676 is 67607997612.

It is a super-2 number, since 2×216799706762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21679970671) 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, 1860420 + ... + 1872036.

It is an arithmetic number, because the mean of its divisors is an integer number (648981480).

Almost surely, 221679970676 is an apocalyptic number.

21679970676 is a gapful number since it is divisible by the number (26) 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 21679970676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31151111040).

21679970676 is an abundant number, since it is smaller than the sum of its proper divisors (40622251404).

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

21679970676 is a wasteful number, since it uses less digits than its factorization.

21679970676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13353 (or 13351 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 60.

The spelling of 21679970676 in words is "twenty-one billion, six hundred seventy-nine million, nine hundred seventy thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1709 3418 5127 6836 10254 11617 11963 20508 22217 23234 23926 34851 35889 44434 46468 47852 66651 69702 71778 81319 88868 133302 139404 143556 151021 155519 162638 243957 266604 302042 311038 325276 453063 466557 487914 604084 622076 906126 933114 975828 1057147 1812252 1866228 2114294 3171441 4228588 6342882 12685764 19853453 39706906 59560359 79413812 119120718 138974171 238241436 258094889 277948342 416922513 516189778 555896684 774284667 833845026 1032379556 1548569334 1667690052 1806664223 3097138668 3613328446 5419992669 7226656892 10839985338 21679970676