Search a number
-
+
56556442530 = 232571920992251
BaseRepresentation
bin110100101011000001…
…101101001110100010
312101222111220221221200
4310223001231032202
51411311422130110
641552012502030
74041343554360
oct645301551642
9171874827850
1056556442530
1121a927013a5
12ab6477a916
1354441c3513
142a473c8630
1517102946c0
hexd2b06d3a2

56556442530 has 192 divisors, whose sum is σ = 177061248000. Its totient is φ = 12235536000.

The previous prime is 56556442471. The next prime is 56556442531. The reversal of 56556442530 is 3524465565.

56556442530 is a `hidden beast` number, since 5 + 6 + 55 + 64 + 4 + 2 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56556442531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25123905 + ... + 25126155.

It is an arithmetic number, because the mean of its divisors is an integer number (922194000).

Almost surely, 256556442530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56556442530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88530624000).

56556442530 is an abundant number, since it is smaller than the sum of its proper divisors (120504805470).

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

56556442530 is a wasteful number, since it uses less digits than its factorization.

56556442530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 56556442530 in words is "fifty-six billion, five hundred fifty-six million, four hundred forty-two thousand, five hundred thirty".