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12464825680 = 245179165313
BaseRepresentation
bin10111001101111011…
…00010010101010000
31012011200202202022101
423212331202111100
5201011443410210
65420512250144
7620614161436
oct134675422520
935150682271
1012464825680
11531708402a
1224ba540954
1312385526c8
14863658d56
154ce48ba3a
hex2e6f62550

12464825680 has 40 divisors (see below), whose sum is σ = 30685471272. Its totient is φ = 4692639744.

The previous prime is 12464825647. The next prime is 12464825687. The reversal of 12464825680 is 8652846421.

12464825680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5180544576 + 7284281104 = 71976^2 + 85348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12464825680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12464825687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4581297 + ... + 4584016.

Almost surely, 212464825680 is an apocalyptic number.

12464825680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12464825680 is an abundant number, since it is smaller than the sum of its proper divisors (18220645592).

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

12464825680 is a wasteful number, since it uses less digits than its factorization.

12464825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165343 (or 9165337 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 12464825680 in words is "twelve billion, four hundred sixty-four million, eight hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 9165313 18330626 36661252 45826565 73322504 91653130 146645008 155810321 183306260 311620642 366612520 623241284 733225040 779051605 1246482568 1558103210 2492965136 3116206420 6232412840 12464825680