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56421383904 = 253223157227239
BaseRepresentation
bin110100100010111110…
…011111111011100000
312101122002210021100100
4310202332133323200
51411022333241104
641530350022400
74035113564424
oct644276377340
9171562707310
1056421383904
1121a234448a6
12ab274a7a00
135422226382
142a334acb84
1517034b7139
hexd22f9fee0

56421383904 has 288 divisors, whose sum is σ = 169941058560. Its totient is φ = 17721639936.

The previous prime is 56421383857. The next prime is 56421383911. The reversal of 56421383904 is 40938312465.

56421383904 is a `hidden beast` number, since 564 + 2 + 1 + 3 + 83 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×564213839043 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56421383904.

It is a congruent number.

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, 236072617 + ... + 236072855.

It is an arithmetic number, because the mean of its divisors is an integer number (590073120).

Almost surely, 256421383904 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 56421383904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84970529280).

56421383904 is an abundant number, since it is smaller than the sum of its proper divisors (113519674656).

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

56421383904 is a wasteful number, since it uses less digits than its factorization.

56421383904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 56421383904 in words is "fifty-six billion, four hundred twenty-one million, three hundred eighty-three thousand, nine hundred four".