Search a number
-
+
51632066961 = 3259163596537
BaseRepresentation
bin110000000101100000…
…101101000110010001
311221021022211202121100
4300011200231012101
51321220302120321
635415222215013
73505330220316
oct600540550621
9157238752540
1051632066961
111a995a57122
12a00b584469
134b3ac22517
1426db3b0d0d
151522cca326
hexc0582d191

51632066961 has 24 divisors (see below), whose sum is σ = 76309140960. Its totient is φ = 33630313536.

The previous prime is 51632066951. The next prime is 51632066963. The reversal of 51632066961 is 16966023615.

51632066961 is a `hidden beast` number, since 5 + 1 + 632 + 0 + 6 + 6 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 51632066961 - 214 = 51632050577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51632066963) 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 23 ways as a sum of consecutive naturals, for example, 211716 + ... + 384821.

It is an arithmetic number, because the mean of its divisors is an integer number (3179547540).

Almost surely, 251632066961 is an apocalyptic number.

It is an amenable number.

51632066961 is a deficient number, since it is larger than the sum of its proper divisors (24677073999).

51632066961 is a wasteful number, since it uses less digits than its factorization.

51632066961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596765 (or 596762 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 51632066961 in words is "fifty-one billion, six hundred thirty-two million, sixty-six thousand, nine hundred sixty-one".

Divisors: 1 3 9 59 163 177 489 531 1467 9617 28851 86553 596537 1789611 5368833 35195683 97235531 105587049 291706593 316761147 875119779 5736896329 17210688987 51632066961