Search a number
-
+
56791656100 = 2252238312
BaseRepresentation
bin110100111001000010…
…111110011010100100
312102120220112001022101
4310321002332122210
51412302130443400
642031214141444
74050231053254
oct647102763244
9172526461271
1056791656100
11220a3455883
12b00b4b1884
135480b5984a
142a6a735964
151725c5756a
hexd390be6a4

56791656100 has 27 divisors (see below), whose sum is σ = 123243065281. Its totient is φ = 22715709200.

The previous prime is 56791656083. The next prime is 56791656107. The reversal of 56791656100 is 165619765.

The square root of 56791656100 is 238310.

It is a perfect power (a square), and thus also a powerful number.

56791656100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20444996196 + 36346659904 = 142986^2 + 190648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56791656107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2371185 + ... + 2395015.

Almost surely, 256791656100 is an apocalyptic number.

56791656100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56791656100 is the 238310-th square number.

It is an amenable number.

56791656100 is an abundant number, since it is smaller than the sum of its proper divisors (66451409181).

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

56791656100 is an frugal number, since it uses more digits than its factorization.

56791656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47676 (or 23838 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 56791656100 in words is "fifty-six billion, seven hundred ninety-one million, six hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 23831 47662 95324 119155 238310 476620 595775 1191550 2383100 567916561 1135833122 2271666244 2839582805 5679165610 11358331220 14197914025 28395828050 56791656100