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56574049609 = 7211230892
BaseRepresentation
bin110100101100000100…
…110111110101001001
312102000202001111022201
4310230010313311021
51411330424041414
641553442120201
74041646326100
oct645404676511
9172022044281
1056574049609
1121aa1637900
12ab6a650061
135447a496cc
142a4988d037
151711ac1574
hexd2c137d49

56574049609 has 27 divisors (see below), whose sum is σ = 72360728391. Its totient is φ = 44069403840.

The previous prime is 56574049603. The next prime is 56574049619. The reversal of 56574049609 is 90694047565.

It is a happy number.

The square root of 56574049609 is 237853.

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

56574049609 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., 51982632009 + 4591417600 = 227997^2 + 67760^2 .

It is not a de Polignac number, because 56574049609 - 229 = 56037178697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56574049609.

It is not an unprimeable number, because it can be changed into a prime (56574049603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18313137 + ... + 18316225.

Almost surely, 256574049609 is an apocalyptic number.

56574049609 is the 237853-rd square number.

56574049609 is the 118927-th centered octagonal number.

It is an amenable number.

56574049609 is a deficient number, since it is larger than the sum of its proper divisors (15786678782).

56574049609 is an frugal number, since it uses more digits than its factorization.

56574049609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6214 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 56574049609 in words is "fifty-six billion, five hundred seventy-four million, forty-nine thousand, six hundred nine".

Divisors: 1 7 11 49 77 121 539 847 3089 5929 21623 33979 151361 237853 373769 1664971 2616383 9541921 18314681 66793447 104961131 467554129 734727917 1154572441 5143095419 8082007087 56574049609