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12657403351880 = 2357222932538669
BaseRepresentation
bin1011100000110000100000…
…0001111101001101001000
31122211000222012110120110022
42320030020001331031020
53124334330224230010
642530421505240012
72444316153214400
oct270141001751510
948730865416408
1012657403351880
11403aa7a23a281
12150510a933008
1370a784b38ba1
1431a89b907800
1516e3ac573d55
hexb830807d348

12657403351880 has 192 divisors, whose sum is σ = 33287551182000. Its totient is φ = 4318904088576.

The previous prime is 12657403351777. The next prime is 12657403351897. The reversal of 12657403351880 is 8815330475621.

It can be written as a sum of positive squares in 8 ways, for example, as 11780944146244 + 876459205636 = 3432338^2 + 936194^2 .

It is a super-2 number, since 2×126574033518802 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460072186 + ... + 1460080854.

Almost surely, 212657403351880 is an apocalyptic number.

12657403351880 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 12657403351880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643775591000).

12657403351880 is an abundant number, since it is smaller than the sum of its proper divisors (20630147830120).

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

12657403351880 is a wasteful number, since it uses less digits than its factorization.

12657403351880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12176 (or 12165 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 12657403351880 in words is "twelve trillion, six hundred fifty-seven billion, four hundred three million, three hundred fifty-one thousand, eight hundred eighty".