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56340521600 = 27521137181239
BaseRepresentation
bin110100011110001010…
…000010001010000000
312101102110122001010012
4310132022002022000
51410341133142400
641514340524052
74033112350316
oct643612021200
9171373561105
1056340521600
1121991834850
12ab043b0628
13540b55365c
142a268600b6
1516eb342d35
hexd1e282280

56340521600 has 384 divisors, whose sum is σ = 157452422400. Its totient is φ = 19740672000.

The previous prime is 56340521599. The next prime is 56340521621. The reversal of 56340521600 is 612504365.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 235734281 + ... + 235734519.

It is an arithmetic number, because the mean of its divisors is an integer number (410032350).

Almost surely, 256340521600 is an apocalyptic number.

56340521600 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 56340521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78726211200).

56340521600 is an abundant number, since it is smaller than the sum of its proper divisors (101111900800).

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

56340521600 is a wasteful number, since it uses less digits than its factorization.

56340521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 56340521600 in words is "fifty-six billion, three hundred forty million, five hundred twenty-one thousand, six hundred".