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56394973800 = 2332521117167543
BaseRepresentation
bin110100100001011001…
…110000001001101000
312101120021002111111100
4310201121300021220
51410444103130200
641524004001400
74034343240144
oct644131601150
9171507074440
1056394973800
1121a0a546570
12ab1a690260
13541990a3a9
142a2db96224
151700eebd00
hexd21670268

56394973800 has 288 divisors, whose sum is σ = 218765551680. Its totient is φ = 12867225600.

The previous prime is 56394973721. The next prime is 56394973849. The reversal of 56394973800 is 837949365.

56394973800 is a `hidden beast` number, since 563 + 9 + 4 + 9 + 73 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 252829 + ... + 420371.

It is an arithmetic number, because the mean of its divisors is an integer number (759602610).

Almost surely, 256394973800 is an apocalyptic number.

56394973800 is a gapful number since it is divisible by the number (50) 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 56394973800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109382775840).

56394973800 is an abundant number, since it is smaller than the sum of its proper divisors (162370577880).

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

56394973800 is a wasteful number, since it uses less digits than its factorization.

56394973800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167593 (or 167581 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 56394973800 in words is "fifty-six billion, three hundred ninety-four million, nine hundred seventy-three thousand, eight hundred".