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12855286067400 = 2335527179379557
BaseRepresentation
bin1011101100010001101011…
…0000100111000011001000
31200111221201222201001200000
42323010122300213003020
53141110111213124100
643201345322443000
72464522654435350
oct273043260470310
950457658631600
1012855286067400
114106994937297
121537535363460
1372332c5c7aba
143262b071db60
151745debb9900
hexbb11ac270c8

12855286067400 has 1152 divisors, whose sum is σ = 51681442176000. Its totient is φ = 2908994135040.

The previous prime is 12855286067381. The next prime is 12855286067419. The reversal of 12855286067400 is 476068255821.

12855286067400 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 5 + 28 + 606 + 7 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12855286067381) and next prime (12855286067419).

It is a super-3 number, since 3×128552860674003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23079507922 + ... + 23079508478.

It is an arithmetic number, because the mean of its divisors is an integer number (44862363000).

Almost surely, 212855286067400 is an apocalyptic number.

12855286067400 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 12855286067400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25840721088000).

12855286067400 is an abundant number, since it is smaller than the sum of its proper divisors (38826156108600).

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

12855286067400 is a wasteful number, since it uses less digits than its factorization.

12855286067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 12855286067400 in words is "twelve trillion, eight hundred fifty-five billion, two hundred eighty-six million, sixty-seven thousand, four hundred".