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12172641696 = 253242266117
BaseRepresentation
bin10110101011000101…
…11100010110100000
31011102022222021020100
423111202330112200
5144412144013241
65331513542400
7610435514205
oct132542742640
934368867210
1012172641696
115187158966
122438714a00
1311bcb60387
1483691bcac
154b39c39b6
hex2d58bc5a0

12172641696 has 36 divisors (see below), whose sum is σ = 34615950642. Its totient is φ = 4057547136.

The previous prime is 12172641667. The next prime is 12172641731. The reversal of 12172641696 is 69614627121.

12172641696 is a `hidden beast` number, since 121 + 7 + 26 + 416 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11671777296 + 500864400 = 108036^2 + 22380^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21132771 + ... + 21133346.

Almost surely, 212172641696 is an apocalyptic number.

12172641696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12172641696 is an abundant number, since it is smaller than the sum of its proper divisors (22443308946).

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

12172641696 is a wasteful number, since it uses less digits than its factorization.

12172641696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42266133 (or 42266122 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 12172641696 in words is "twelve billion, one hundred seventy-two million, six hundred forty-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 42266117 84532234 126798351 169064468 253596702 338128936 380395053 507193404 676257872 760790106 1014386808 1352515744 1521580212 2028773616 3043160424 4057547232 6086320848 12172641696