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10640646048 = 253283391661
BaseRepresentation
bin10011110100011101…
…10101111110100000
31000110120020211021210
421322032311332200
5133243001133143
64515505550120
7524453666454
oct117216657640
930416224253
1010640646048
11457040495a
12208b645340
131007647986
1472d28a664
15424259033
hex27a3b5fa0

10640646048 has 48 divisors (see below), whose sum is σ = 28030466016. Its totient is φ = 3534339840.

The previous prime is 10640646043. The next prime is 10640646059. The reversal of 10640646048 is 84064604601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106406460482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10640645997 and 10640646015.

It is not an unprimeable number, because it can be changed into a prime (10640646043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168663 + ... + 222998.

It is an arithmetic number, because the mean of its divisors is an integer number (583968042).

Almost surely, 210640646048 is an apocalyptic number.

It is an amenable number.

10640646048 is an abundant number, since it is smaller than the sum of its proper divisors (17389819968).

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

10640646048 is a wasteful number, since it uses less digits than its factorization.

10640646048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391957 (or 391949 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 10640646048 in words is "ten billion, six hundred forty million, six hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 283 566 849 1132 1698 2264 3396 4528 6792 9056 13584 27168 391661 783322 1174983 1566644 2349966 3133288 4699932 6266576 9399864 12533152 18799728 37599456 110840063 221680126 332520189 443360252 665040378 886720504 1330080756 1773441008 2660161512 3546882016 5320323024 10640646048