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12814781055300 = 223252797167199631
BaseRepresentation
bin1011101001111010110001…
…1110010000000101000100
31200101002012010101020210200
42322132230132100011010
53134424132422232200
643131010143450500
72461560135504150
oct272365436200504
950332163336720
1012814781055300
1140a0799909184
12152b7102b6a30
1371c575a27013
1432434b054060
1517351dbc9800
hexba7ac790144

12814781055300 has 864 divisors, whose sum is σ = 46965127372800. Its totient is φ = 2862513561600.

The previous prime is 12814781055289. The next prime is 12814781055343. The reversal of 12814781055300 is 355018741821.

12814781055300 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 4 + 7 + 8 + 105 + 530 + 0 = 666.

It is a super-2 number, since 2×128147810553002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20308685985 + ... + 20308686615.

Almost surely, 212814781055300 is an apocalyptic number.

12814781055300 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 12814781055300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482563686400).

12814781055300 is an abundant number, since it is smaller than the sum of its proper divisors (34150346317500).

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

12814781055300 is a wasteful number, since it uses less digits than its factorization.

12814781055300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 12814781055300 in words is "twelve trillion, eight hundred fourteen billion, seven hundred eighty-one million, fifty-five thousand, three hundred".