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12131457464 = 2371109195341
BaseRepresentation
bin10110100110001011…
…10101100110111000
31011022110110220002102
423103011311212320
5144321123114324
65323443122532
7606425454440
oct132305654670
934273426072
1012131457464
115165989605
122426973448
1311b44707c9
1483127b120
154b008adae
hex2d31759b8

12131457464 has 32 divisors (see below), whose sum is σ = 26019554400. Its totient is φ = 5194481280.

The previous prime is 12131457407. The next prime is 12131457491. The reversal of 12131457464 is 46475413121.

It is a super-2 number, since 2×121314574642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35567 + ... + 159774.

It is an arithmetic number, because the mean of its divisors is an integer number (813111075).

Almost surely, 212131457464 is an apocalyptic number.

12131457464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12131457464 is an abundant number, since it is smaller than the sum of its proper divisors (13888096936).

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

12131457464 is a wasteful number, since it uses less digits than its factorization.

12131457464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196463 (or 196459 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The spelling of 12131457464 in words is "twelve billion, one hundred thirty-one million, four hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 1109 2218 4436 7763 8872 15526 31052 62104 195341 390682 781364 1367387 1562728 2734774 5469548 10939096 216633169 433266338 866532676 1516432183 1733065352 3032864366 6065728732 12131457464