Search a number
-
+
46565056564 = 22131018866157
BaseRepresentation
bin101011010111011111…
…100110000000110100
311110012012100222001121
4223113133212000310
51230331123302224
633220334433324
73235632310255
oct532737460064
9143165328047
1046565056564
1118825840224
129036662844
134511230b10
14237a468b2c
151328038be4
hexad77e6034

46565056564 has 24 divisors (see below), whose sum is σ = 88626115368. Its totient is φ = 21278774400.

The previous prime is 46565056547. The next prime is 46565056579.

46565056564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2001846564 + 44563210000 = 44742^2 + 211100^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4427827 + ... + 4438330.

It is an arithmetic number, because the mean of its divisors is an integer number (3692754807).

Almost surely, 246565056564 is an apocalyptic number.

It is an amenable number.

46565056564 is a deficient number, since it is larger than the sum of its proper divisors (42061058804).

46565056564 is a wasteful number, since it uses less digits than its factorization.

46565056564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8866275 (or 8866273 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 52.

The spelling of 46565056564 in words is "forty-six billion, five hundred sixty-five million, fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 13 26 52 101 202 404 1313 2626 5252 8866157 17732314 35464628 115260041 230520082 461040164 895481857 1790963714 3581927428 11641264141 23282528282 46565056564