Search a number
-
+
56661306705 = 345139904461
BaseRepresentation
bin110100110001010001…
…101110110101010001
312102020211020121120000
4310301101232311101
51412020243303310
642010240240213
74044056106003
oct646121566521
9172224217500
1056661306705
1122036915403
12ab93910069
13545cb4b023
142a572c4373
1517195aa4c0
hexd3146ed51

56661306705 has 20 divisors (see below), whose sum is σ = 101570639412. Its totient is φ = 30219363360.

The previous prime is 56661306677. The next prime is 56661306739. The reversal of 56661306705 is 50760316665.

56661306705 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 2 ways, for example, as 21404860416 + 35256446289 = 146304^2 + 187767^2 .

It is not a de Polignac number, because 56661306705 - 25 = 56661306673 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69951826 + ... + 69952635.

Almost surely, 256661306705 is an apocalyptic number.

It is an amenable number.

56661306705 is a deficient number, since it is larger than the sum of its proper divisors (44909332707).

56661306705 is a wasteful number, since it uses less digits than its factorization.

56661306705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139904478 (or 139904469 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 56661306705 in words is "fifty-six billion, six hundred sixty-one million, three hundred six thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 139904461 419713383 699522305 1259140149 2098566915 3777420447 6295700745 11332261341 18887102235 56661306705