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56283221808 = 2432111929591093
BaseRepresentation
bin110100011010101111…
…011100111100110000
312101021110210220120200
4310122233130330300
51410232001044213
641504532435200
74031515330452
oct643257347460
9171243726520
1056283221808
1121962458650
12aaa9178b00
1353cc710758
142a1cdc62d2
1516e62c5273
hexd1abdcf30

56283221808 has 480 divisors, whose sum is σ = 190461024000. Its totient is φ = 15322245120.

The previous prime is 56283221807. The next prime is 56283221821. The reversal of 56283221808 is 80812238265.

56283221808 is a `hidden beast` number, since 5 + 628 + 3 + 2 + 2 + 18 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (56283221807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51493710 + ... + 51494802.

It is an arithmetic number, because the mean of its divisors is an integer number (396793800).

Almost surely, 256283221808 is an apocalyptic number.

56283221808 is a gapful number since it is divisible by the number (58) 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 56283221808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95230512000).

56283221808 is an abundant number, since it is smaller than the sum of its proper divisors (134177802192).

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

56283221808 is a wasteful number, since it uses less digits than its factorization.

56283221808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 56283221808 in words is "fifty-six billion, two hundred eighty-three million, two hundred twenty-one thousand, eight hundred eight".