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12974896055520 = 253457192396181
BaseRepresentation
bin1011110011001111010000…
…0100100000010011100000
31200221101110211000000110000
42330303310010200103200
53200040041342234040
643332330203540000
72506256006526030
oct274636404402340
950841424000400
1012974896055520
114152693628743
12155675652a600
137316b1a59bb9
1432bdb9d418c0
151777907d1130
hexbccf41204e0

12974896055520 has 720 divisors, whose sum is σ = 55231504419168. Its totient is φ = 2809594460160.

The previous prime is 12974896055507. The next prime is 12974896055533. The reversal of 12974896055520 is 2555069847921.

12974896055520 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 48 + 9 + 60 + 5 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (12974896055507) and next prime (12974896055533).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32551830 + ... + 32948010.

Almost surely, 212974896055520 is an apocalyptic number.

12974896055520 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 12974896055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27615752209584).

12974896055520 is an abundant number, since it is smaller than the sum of its proper divisors (42256608363648).

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

12974896055520 is a wasteful number, since it uses less digits than its factorization.

12974896055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396253 (or 396217 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 12974896055520 in words is "twelve trillion, nine hundred seventy-four billion, eight hundred ninety-six million, fifty-five thousand, five hundred twenty".