Search a number
-
+
56462026465 = 5131018600461
BaseRepresentation
bin110100100101011001…
…100010011011100001
312101201221021010110101
4310211121202123201
51411113234321330
641534401102401
74036116210025
oct644531423341
9171657233411
1056462026465
1121a44384199
12ab39027a01
13542a786520
142a38a4c385
151706d444ca
hexd256626e1

56462026465 has 16 divisors (see below), whose sum is σ = 73688758416. Its totient is φ = 41282208000.

The previous prime is 56462026447. The next prime is 56462026501.

56462026465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1259114256 + 55202912209 = 35484^2 + 234953^2 .

It is not a de Polignac number, because 56462026465 - 225 = 56428472033 is a prime.

It is a super-3 number, since 3×564620264653 (a number of 33 digits) contains 333 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 15 ways as a sum of consecutive naturals, for example, 4293666 + ... + 4306795.

It is an arithmetic number, because the mean of its divisors is an integer number (4605547401).

Almost surely, 256462026465 is an apocalyptic number.

It is an amenable number.

56462026465 is a deficient number, since it is larger than the sum of its proper divisors (17226731951).

56462026465 is a wasteful number, since it uses less digits than its factorization.

56462026465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8600580.

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 56462026465 in words is "fifty-six billion, four hundred sixty-two million, twenty-six thousand, four hundred sixty-five".

Divisors: 1 5 13 65 101 505 1313 6565 8600461 43002305 111805993 559029965 868646561 4343232805 11292405293 56462026465