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12593957376 = 293711138191
BaseRepresentation
bin10111011101010100…
…01000101000000000
31012111200202022200210
423232222020220000
5201243023114001
65441404114120
7624042604620
oct135652105000
935450668623
1012593957376
115382a62640
122535835940
131259225bb0
14876870880
154da997dd6
hex2eea88a00

12593957376 has 320 divisors, whose sum is σ = 45053116416. Its totient is φ = 3019161600.

The previous prime is 12593957273. The next prime is 12593957377. The reversal of 12593957376 is 67375939521.

It is not an unprimeable number, because it can be changed into a prime (12593957377) 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 31 ways as a sum of consecutive naturals, for example, 1533441 + ... + 1541631.

Almost surely, 212593957376 is an apocalyptic number.

12593957376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12593957376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22526558208).

12593957376 is an abundant number, since it is smaller than the sum of its proper divisors (32459159040).

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

12593957376 is a wasteful number, since it uses less digits than its factorization.

12593957376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8227 counting only the distinct ones).

The product of its digits is 10716300, while the sum is 57.

It can be divided in two parts, 125939 and 57376, that added together give a triangular number (183315 = T605).

The spelling of 12593957376 in words is "twelve billion, five hundred ninety-three million, nine hundred fifty-seven thousand, three hundred seventy-six".