Search a number
-
+
5610050010656 = 257213275218309
BaseRepresentation
bin101000110100011000100…
…0010011011111000100000
3201212022112000211121202022
41101220301002123320200
51213403340300320111
615533115453241012
71116212161202600
oct121506102337040
921768460747668
105610050010656
111873232a82893
12767322493168
13319043b9c130
1415575668ac00
159ade4a2a2db
hex51a3109be20

5610050010656 has 72 divisors (see below), whose sum is σ = 13836325316940. Its totient is φ = 2219360435712.

The previous prime is 5610050010647. The next prime is 5610050010679. The reversal of 5610050010656 is 6560100500165.

It can be written as a sum of positive squares in 2 ways, for example, as 5519398435600 + 90651575056 = 2349340^2 + 301084^2 .

It is a super-2 number, since 2×56100500106562 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 137588771 + ... + 137629538.

Almost surely, 25610050010656 is an apocalyptic number.

5610050010656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5610050010656 is an abundant number, since it is smaller than the sum of its proper divisors (8226275306284).

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

5610050010656 is a wasteful number, since it uses less digits than its factorization.

5610050010656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275218346 (or 275218331 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 5610050010656 in words is "five trillion, six hundred ten billion, fifty million, ten thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 275218309 550436618 1100873236 1926528163 2201746472 3577838017 3853056326 4403492944 7155676034 7706112652 8806985888 13485697141 14311352068 15412225304 25044866119 26971394282 28622704136 30824450608 50089732238 53942788564 57245408272 61648901216 100179464476 107885577128 114490816544 175314062833 200358928952 215771154256 350628125666 400717857904 431542308512 701256251332 801435715808 1402512502664 2805025005328 5610050010656