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56387000124 = 22357133172011
BaseRepresentation
bin110100100000111011…
…010101011100111100
312101112201002101200000
4310200323111130330
51410440033000444
641523121034300
74034215410240
oct644073253474
9171481071600
1056387000124
1121a05a9a854
12ab17a85990
135418077c40
142a2cabc420
151700474469
hexd20ed573c

56387000124 has 288 divisors, whose sum is σ = 182588130816. Its totient is φ = 14817012480.

The previous prime is 56387000071. The next prime is 56387000143. The reversal of 56387000124 is 42100078365.

56387000124 is a `hidden beast` number, since 5 + 638 + 7 + 0 + 0 + 0 + 12 + 4 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28038279 + ... + 28040289.

Almost surely, 256387000124 is an apocalyptic number.

56387000124 is a gapful number since it is divisible by the number (54) 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 56387000124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91294065408).

56387000124 is an abundant number, since it is smaller than the sum of its proper divisors (126201130692).

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

56387000124 is a wasteful number, since it uses less digits than its factorization.

56387000124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 56387000124 its reverse (42100078365), we get a palindrome (98487078489).

The spelling of 56387000124 in words is "fifty-six billion, three hundred eighty-seven million, one hundred twenty-four", and thus it is an aban number.