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12744857960 = 235373854213
BaseRepresentation
bin10111101111010011…
…10001100101101000
31012220012200212101022
423313221301211220
5202100140423320
65504354312012
7630554335202
oct136751614550
935805625338
1012744857960
11545015a46a
122578288608
13128157b993
1488c911772
154e8d54325
hex2f7a71968

12744857960 has 32 divisors (see below), whose sum is σ = 28752843240. Its totient is φ = 5084269824.

The previous prime is 12744857953. The next prime is 12744857963. The reversal of 12744857960 is 6975844721.

It can be written as a sum of positive squares in 4 ways, for example, as 7160882884 + 5583975076 = 84622^2 + 74726^2 .

It is not an unprimeable number, because it can be changed into a prime (12744857963) 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, 412187 + ... + 442026.

Almost surely, 212744857960 is an apocalyptic number.

12744857960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12744857960 is an abundant number, since it is smaller than the sum of its proper divisors (16007985280).

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

12744857960 is a wasteful number, since it uses less digits than its factorization.

12744857960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854597 (or 854593 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 12744857960 in words is "twelve billion, seven hundred forty-four million, eight hundred fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 373 746 1492 1865 2984 3730 7460 14920 854213 1708426 3416852 4271065 6833704 8542130 17084260 34168520 318621449 637242898 1274485796 1593107245 2548971592 3186214490 6372428980 12744857960