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56352483000 = 23335311247367
BaseRepresentation
bin110100011110110111…
…101010011010111000
312101110022010202002000
4310132313222122320
51410402213424000
641515445141000
74033316126232
oct643667523270
9171408122060
1056352483000
1121998564600
12ab083ba760
135410b80bc8
142a28295252
1516ec407000
hexd1edea6b8

56352483000 has 768 divisors, whose sum is σ = 219895603200. Its totient is φ = 13334112000.

The previous prime is 56352482981. The next prime is 56352483073. The reversal of 56352483000 is 38425365.

It is a happy number.

56352483000 is a `hidden beast` number, since 56 + 3 + 524 + 83 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153548817 + ... + 153549183.

It is an arithmetic number, because the mean of its divisors is an integer number (286322400).

Almost surely, 256352483000 is an apocalyptic number.

56352483000 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 56352483000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109947801600).

56352483000 is an abundant number, since it is smaller than the sum of its proper divisors (163543120200).

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

56352483000 is a wasteful number, since it uses less digits than its factorization.

56352483000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 56352483000 in words is "fifty-six billion, three hundred fifty-two million, four hundred eighty-three thousand".