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12857335873536 = 220372117583
BaseRepresentation
bin1011101100011001010011…
…1100000000000000000000
31200112011000211210000001210
42323012110330000000000
53141123310440423121
643202324545130120
72464624524466500
oct273062474000000
950464024700053
1012857335873536
114107846a01a50
121537a07929940
1372359819023b
14326426a61a00
151746aeb19876
hexbb194f00000

12857335873536 has 504 divisors, whose sum is σ = 43515514151424. Its totient is φ = 3339127357440.

The previous prime is 12857335873523. The next prime is 12857335873651. The reversal of 12857335873536 is 63537853375821.

It is a super-2 number, since 2×128573358735362 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1695543601 + ... + 1695551183.

It is an arithmetic number, because the mean of its divisors is an integer number (86340305856).

Almost surely, 212857335873536 is an apocalyptic number.

12857335873536 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 12857335873536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21757757075712).

12857335873536 is an abundant number, since it is smaller than the sum of its proper divisors (30658178277888).

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

12857335873536 is an frugal number, since it uses more digits than its factorization.

12857335873536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651 (or 7606 counting only the distinct ones).

The product of its digits is 381024000, while the sum is 66.

The spelling of 12857335873536 in words is "twelve trillion, eight hundred fifty-seven billion, three hundred thirty-five million, eight hundred seventy-three thousand, five hundred thirty-six".