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56342200320 = 21434571213
BaseRepresentation
bin110100011110010000…
…011100000000000000
312101102120210022220000
4310132100130000000
51410342100402240
641514440520000
74033132541460
oct643620340000
9171376708800
1056342200320
112199278101a
12ab04a80000
13540b9c0793
142a26b79ba0
1516eb575430
hexd1e41c000

56342200320 has 600 divisors, whose sum is σ = 231037233504. Its totient is φ = 12867600384.

The previous prime is 56342200303. The next prime is 56342200381. The reversal of 56342200320 is 2300224365.

56342200320 is a `hidden beast` number, since 5 + 634 + 2 + 2 + 0 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46448034 + ... + 46449246.

Almost surely, 256342200320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56342200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115518616752).

56342200320 is an abundant number, since it is smaller than the sum of its proper divisors (174695033184).

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

56342200320 is an equidigital number, since it uses as much as digits as its factorization.

56342200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 56342200320 its reverse (2300224365), we get a palindrome (58642424685).

The spelling of 56342200320 in words is "fifty-six billion, three hundred forty-two million, two hundred thousand, three hundred twenty".