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56059559361 = 321344672
BaseRepresentation
bin110100001101011010…
…001111110111000001
312100200212221200101100
4310031122033313001
51404302221344421
641430422525013
74023131251401
oct641532176701
9170625850340
1056059559361
1121858183753
12aa46296769
135395290000
1429db404801
1516d1844c26
hexd0d68fdc1

56059559361 has 45 divisors (see below), whose sum is σ = 87910837781. Its totient is φ = 34424318448.

The previous prime is 56059559359. The next prime is 56059559383. The reversal of 56059559361 is 16395595065.

The square root of 56059559361 is 236769.

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

56059559361 is a `hidden beast` number, since 5 + 6 + 0 + 59 + 559 + 36 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27795224961 + 28264334400 = 166719^2 + 168120^2 .

It is not a de Polignac number, because 56059559361 - 21 = 56059559359 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56059559298 and 56059559307.

It is not an unprimeable number, because it can be changed into a prime (56059559761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120041650 + ... + 120042116.

Almost surely, 256059559361 is an apocalyptic number.

56059559361 is the 236769-th square number.

56059559361 is the 118385-th centered octagonal number.

It is an amenable number.

56059559361 is a deficient number, since it is larger than the sum of its proper divisors (31851278420).

56059559361 is an frugal number, since it uses more digits than its factorization.

56059559361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 5467500, while the sum is 54.

The spelling of 56059559361 in words is "fifty-six billion, fifty-nine million, five hundred fifty-nine thousand, three hundred sixty-one".

Divisors: 1 3 9 13 39 117 169 467 507 1401 1521 2197 4203 6071 6591 18213 19773 28561 54639 78923 85683 218089 236769 257049 654267 710307 1025999 1962801 2835157 3077997 8505471 9233991 13337987 25516413 36857041 40013961 110571123 120041883 331713369 479141533 1437424599 4312273797 6228839929 18686519787 56059559361