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12857927040 = 27365731127
BaseRepresentation
bin10111111100110010…
…00110010110000000
31020012002110101000000
423332121012112000
5202313112131130
65523514000000
7633426401520
oct137631062600
936162411000
1012857927040
1154a8a67992
1225aa116000
13129bb19c6a
1489d945680
15503c3b260
hex2fe646580

12857927040 has 896 divisors, whose sum is σ = 54797598720. Its totient is φ = 2821754880.

The previous prime is 12857927039. The next prime is 12857927063. The reversal of 12857927040 is 4072975821.

It is a happy number.

12857927040 is a `hidden beast` number, since 1 + 2 + 8 + 579 + 2 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 111 ways as a sum of consecutive naturals, for example, 101243457 + ... + 101243583.

Almost surely, 212857927040 is an apocalyptic number.

12857927040 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 12857927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27398799360).

12857927040 is an abundant number, since it is smaller than the sum of its proper divisors (41939671680).

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

12857927040 is an equidigital number, since it uses as much as digits as its factorization.

12857927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12857927040 in words is "twelve billion, eight hundred fifty-seven million, nine hundred twenty-seven thousand, forty".