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12757702500 = 2234542512
BaseRepresentation
bin10111110000110101…
…10001011101100100
31012221002212102210000
423320122301131210
5202111432440000
65505533501300
7631101452634
oct137032613544
935832772700
1012757702500
115457432794
122580641830
1312841281ba
148904d66c4
154ea040000
hex2f86b1764

12757702500 has 225 divisors, whose sum is σ = 41842302271. Its totient is φ = 3388500000.

The previous prime is 12757702493. The next prime is 12757702511. The reversal of 12757702500 is 520775721.

The square root of 12757702500 is 112950.

It is a perfect power (a square), and thus also a powerful number.

12757702500 is a `hidden beast` number, since 12 + 75 + 7 + 70 + 2 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1000203876 + 11757498624 = 31626^2 + 108432^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 50827375 + ... + 50827625.

Almost surely, 212757702500 is an apocalyptic number.

12757702500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12757702500 is the 112950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12757702500

12757702500 is an abundant number, since it is smaller than the sum of its proper divisors (29084599771).

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

12757702500 is an frugal number, since it uses more digits than its factorization.

12757702500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

Multiplying 12757702500 by its sum of digits (36), we get a square (459277290000 = 6777002).

12757702500 divided by its sum of digits (36) gives a square (354380625 = 188252).

The spelling of 12757702500 in words is "twelve billion, seven hundred fifty-seven million, seven hundred two thousand, five hundred".