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56346864365 = 5112412271593
BaseRepresentation
bin110100011110100010…
…001110101011101101
312101102220120021202102
4310132202032223231
51410344244124430
641515124504445
74033220305331
oct643642165355
9171386507672
1056346864365
1121995377200
12ab0654b125
13540c96467c
142a276317c1
1516ebb97345
hexd1e88eaed

56346864365 has 24 divisors (see below), whose sum is σ = 76134744504. Its totient is φ = 39980019200.

The previous prime is 56346864347. The next prime is 56346864389.

56346864365 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5981630281 + 50365234084 = 77341^2 + 224422^2 .

It is not a de Polignac number, because 56346864365 - 228 = 56078428909 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56346864365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110992 + ... + 1160601.

It is an arithmetic number, because the mean of its divisors is an integer number (3172281021).

Almost surely, 256346864365 is an apocalyptic number.

56346864365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56346864365 is a deficient number, since it is larger than the sum of its proper divisors (19787880139).

56346864365 is a wasteful number, since it uses less digits than its factorization.

56346864365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271661 (or 2271650 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 56.

The spelling of 56346864365 in words is "fifty-six billion, three hundred forty-six million, eight hundred sixty-four thousand, three hundred sixty-five".

Divisors: 1 5 11 41 55 121 205 451 605 2255 4961 24805 2271593 11357965 24987523 93135313 124937615 274862753 465676565 1024488443 1374313765 5122442215 11269372873 56346864365