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12957326280 = 2332535992573
BaseRepresentation
bin11000001000101000…
…10001101111001000
31020110000111101010100
430010110101233020
5203014033420110
65541424245400
7636044312313
oct140424215710
936400441110
1012957326280
11554a089018
122617470860
1312b65b0192
148acc1b97a
1550c822bc0
hex304511bc8

12957326280 has 48 divisors (see below), whose sum is σ = 42111311580. Its totient is φ = 3455286912.

The previous prime is 12957326273. The next prime is 12957326287. The reversal of 12957326280 is 8262375921.

12957326280 is a `hidden beast` number, since 12 + 9 + 5 + 7 + 3 + 2 + 628 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12957326273) and next prime (12957326287).

It can be written as a sum of positive squares in 2 ways, for example, as 12295704996 + 661621284 = 110886^2 + 25722^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12957326287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17995927 + ... + 17996646.

Almost surely, 212957326280 is an apocalyptic number.

12957326280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12957326280 is an abundant number, since it is smaller than the sum of its proper divisors (29153985300).

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

12957326280 is a wasteful number, since it uses less digits than its factorization.

12957326280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35992590 (or 35992583 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12957326280 in words is "twelve billion, nine hundred fifty-seven million, three hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 35992573 71985146 107977719 143970292 179962865 215955438 287940584 323933157 359925730 431910876 539888595 647866314 719851460 863821752 1079777190 1295732628 1439702920 1619665785 2159554380 2591465256 3239331570 4319108760 6478663140 12957326280