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2056454896320 = 263351131697993
BaseRepresentation
bin11101111011001110010…
…000110111101011000000
321021121001212200201201000
4131323032100313223000
5232143104423140240
64212420005212000
7301400604130356
oct35731620675300
97247055621630
102056454896320
117231571a4aa0
1229267a701000
1311bbcc6c2376
14717665a37d6
153875e3b4430
hex1dece437ac0

2056454896320 has 448 divisors, whose sum is σ = 8169545134080. Its totient is φ = 482452070400.

The previous prime is 2056454896319. The next prime is 2056454896367. The reversal of 2056454896320 is 236984546502.

2056454896320 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 4 + 548 + 96 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2597244 + ... + 3295236.

Almost surely, 22056454896320 is an apocalyptic number.

2056454896320 is a gapful number since it is divisible by the number (20) 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 2056454896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084772567040).

2056454896320 is an abundant number, since it is smaller than the sum of its proper divisors (6113090237760).

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

2056454896320 is a wasteful number, since it uses less digits than its factorization.

2056454896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698061 (or 698045 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2056454896320 in words is "two trillion, fifty-six billion, four hundred fifty-four million, eight hundred ninety-six thousand, three hundred twenty".