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12932689464 = 2332797225371
BaseRepresentation
bin11000000101101100…
…10010111000111000
31020101022010200202200
430002312102320320
5202441232030324
65535144230200
7635325022002
oct140266227070
936338120680
1012932689464
115537191012
12260b16b360
1312b1465396
148a9847372
1550a5a7ec9
hex302d92e38

12932689464 has 48 divisors (see below), whose sum is σ = 35070136920. Its totient is φ = 4305468480.

The previous prime is 12932689459. The next prime is 12932689501. The reversal of 12932689464 is 46498623921.

12932689464 is a `hidden beast` number, since 1 + 293 + 268 + 94 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12932689464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55302 + ... + 170069.

Almost surely, 212932689464 is an apocalyptic number.

It is an amenable number.

12932689464 is an abundant number, since it is smaller than the sum of its proper divisors (22137447456).

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

12932689464 is a wasteful number, since it uses less digits than its factorization.

12932689464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226180 (or 226173 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 12932689464 in words is "twelve billion, nine hundred thirty-two million, six hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 797 1594 2391 3188 4782 6376 7173 9564 14346 19128 28692 57384 225371 450742 676113 901484 1352226 1802968 2028339 2704452 4056678 5408904 8113356 16226712 179620687 359241374 538862061 718482748 1077724122 1436965496 1616586183 2155448244 3233172366 4310896488 6466344732 12932689464