Search a number
-
+
56620700208 = 243217411035477
BaseRepresentation
bin110100101110110110…
…110101001000110000
312102010222211120220200
4310232312311020300
51411424344401313
642002230035200
74043054003502
oct645666651060
9172128746820
1056620700208
1122015a00116
12ab821a8b00
135454601407
142a51b53d72
151715c38b73
hexd2edb5230

56620700208 has 240 divisors, whose sum is σ = 173573015616. Its totient is φ = 17158717440.

The previous prime is 56620700189. The next prime is 56620700233. The reversal of 56620700208 is 80200702665.

56620700208 is a `hidden beast` number, since 5 + 6 + 620 + 7 + 0 + 0 + 20 + 8 = 666.

56620700208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×566207002082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10335166 + ... + 10340642.

Almost surely, 256620700208 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 56620700208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86786507808).

56620700208 is an abundant number, since it is smaller than the sum of its proper divisors (116952315408).

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

56620700208 is a wasteful number, since it uses less digits than its factorization.

56620700208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5643 counting only the distinct ones).

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

The spelling of 56620700208 in words is "fifty-six billion, six hundred twenty million, seven hundred thousand, two hundred eight".