Search a number
-
+
5381606961 = 321131752837
BaseRepresentation
bin1010000001100010…
…01100111000110001
3111220001102221220100
411000301030320301
542010142410321
62250002303013
7250234622133
oct50061147061
914801387810
105381606961
11231185aa65
121062357a69
13679c30323
14390a39053
152176d5326
hex140c4ce31

5381606961 has 12 divisors (see below), whose sum is σ = 7774266292. Its totient is φ = 3587353056.

The previous prime is 5381606959. The next prime is 5381606981. The reversal of 5381606961 is 1696061835.

5381606961 is a `hidden beast` number, since 5 + 38 + 1 + 606 + 9 + 6 + 1 = 666.

5381606961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2351765025 + 3029841936 = 48495^2 + 55044^2 .

It is not a de Polignac number, because 5381606961 - 21 = 5381606959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5381606941) 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 11 ways as a sum of consecutive naturals, for example, 75435 + ... + 128271.

Almost surely, 25381606961 is an apocalyptic number.

It is an amenable number.

5381606961 is a deficient number, since it is larger than the sum of its proper divisors (2392659331).

5381606961 is a wasteful number, since it uses less digits than its factorization.

5381606961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64160 (or 64157 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5381606961 is about 73359.4367549261. The cubic root of 5381606961 is about 1752.4164669929.

The spelling of 5381606961 in words is "five billion, three hundred eighty-one million, six hundred six thousand, nine hundred sixty-one".

Divisors: 1 3 9 11317 33951 52837 101853 158511 475533 597956329 1793868987 5381606961