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12725524980 = 22335773107431
BaseRepresentation
bin10111101101000000…
…00001100111110100
31012211212022122112000
423312200001213310
5202030213244410
65502424055300
7630231114630
oct136640014764
935755278460
1012725524980
1154402552a3
122571904530
13127a57004c
1488a11bdc0
154e72d5dc0
hex2f68019f4

12725524980 has 384 divisors, whose sum is σ = 46402191360. Its totient is φ = 2835440640.

The previous prime is 12725524979. The next prime is 12725525011. The reversal of 12725524980 is 8942552721.

12725524980 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 552 + 4 + 98 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29525365 + ... + 29525795.

It is an arithmetic number, because the mean of its divisors is an integer number (120839040).

Almost surely, 212725524980 is an apocalyptic number.

12725524980 is a gapful number since it is divisible by the number (10) 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 12725524980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23201095680).

12725524980 is an abundant number, since it is smaller than the sum of its proper divisors (33676666380).

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

12725524980 is a wasteful number, since it uses less digits than its factorization.

12725524980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12725524980 in words is "twelve billion, seven hundred twenty-five million, five hundred twenty-four thousand, nine hundred eighty".