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10676121696 = 253297138177
BaseRepresentation
bin10011111000101100…
…01011000001100000
31000120001000011201200
421330112023001200
5133331041343241
64523214201200
7525364352142
oct117426130140
930501004650
1010676121696
114589435279
12209b4b3200
131011ab9096
14733c82c92
154274154b6
hex27c58b060

10676121696 has 72 divisors (see below), whose sum is σ = 30392284104. Its totient is φ = 3554949120.

The previous prime is 10676121661. The next prime is 10676121697. The reversal of 10676121696 is 69612167601.

10676121696 is a `hidden beast` number, since 10 + 6 + 7 + 612 + 16 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106761216962 (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 (10676121697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260560 + ... + 298736.

It is an arithmetic number, because the mean of its divisors is an integer number (422115057).

Almost surely, 210676121696 is an apocalyptic number.

10676121696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10676121696 is an abundant number, since it is smaller than the sum of its proper divisors (19716162408).

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

10676121696 is a wasteful number, since it uses less digits than its factorization.

10676121696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39164 (or 39153 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10676121696 in words is "ten billion, six hundred seventy-six million, one hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 971 1942 2913 3884 5826 7768 8739 11652 15536 17478 23304 31072 34956 38177 46608 69912 76354 93216 114531 139824 152708 229062 279648 305416 343593 458124 610832 687186 916248 1221664 1374372 1832496 2748744 3664992 5497488 10994976 37069867 74139734 111209601 148279468 222419202 296558936 333628803 444838404 593117872 667257606 889676808 1186235744 1334515212 1779353616 2669030424 3558707232 5338060848 10676121696