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56000294784 = 273571913537
BaseRepresentation
bin110100001001111000…
…001010111110000000
312100112202102201200000
4310021320022332000
51404142033413114
641420504400000
74021511436360
oct641170127600
9170482381600
1056000294784
1121827785365
12aa2a476000
135385c0ca05
1429d35b89a0
1516cb539e09
hexd09e0af80

56000294784 has 384 divisors, whose sum is σ = 201055545600. Its totient is φ = 15156854784.

The previous prime is 56000294773. The next prime is 56000294839. The reversal of 56000294784 is 48749200065.

It is a happy number.

56000294784 is a `hidden beast` number, since 560 + 0 + 0 + 2 + 9 + 4 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4130064 + ... + 4143600.

It is an arithmetic number, because the mean of its divisors is an integer number (523582150).

Almost surely, 256000294784 is an apocalyptic number.

56000294784 is a gapful number since it is divisible by the number (54) 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 56000294784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100527772800).

56000294784 is an abundant number, since it is smaller than the sum of its proper divisors (145055250816).

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

56000294784 is a wasteful number, since it uses less digits than its factorization.

56000294784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13592 (or 13568 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 56000294784 in words is "fifty-six billion, two hundred ninety-four thousand, seven hundred eighty-four".