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56430477601 = 139217092
BaseRepresentation
bin110100100011100001…
…001100000100100001
312101122201220021112221
4310203201030010201
51411032200240401
641531312551041
74035254100601
oct644341140441
9171581807487
1056430477601
1121a28596053
12ab2a552481
13542408b564
142a34798c01
1517041b17a1
hexd2384c121

56430477601 has 9 divisors (see below), whose sum is σ = 56872651251. Its totient is φ = 55991720904.

The previous prime is 56430477581. The next prime is 56430477611. The reversal of 56430477601 is 10677403465.

The square root of 56430477601 is 237551.

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

It can be written as a sum of positive squares in only one way, i.e., 10608794001 + 45821683600 = 102999^2 + 214060^2 .

It is not a de Polignac number, because 56430477601 - 211 = 56430475553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56430477611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33018735 + ... + 33020443.

Almost surely, 256430477601 is an apocalyptic number.

56430477601 is the 237551-st square number.

56430477601 is the 118776-th centered octagonal number.

It is an amenable number.

56430477601 is a deficient number, since it is larger than the sum of its proper divisors (442173650).

56430477601 is an frugal number, since it uses more digits than its factorization.

56430477601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 56430477601 in words is "fifty-six billion, four hundred thirty million, four hundred seventy-seven thousand, six hundred one".

Divisors: 1 139 1709 19321 237551 2920681 33019589 405974659 56430477601