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969945280164 = 22327213121792
BaseRepresentation
bin11100001110101010011…
…11100110111010100100
310102201121011011110121100
432013111033212322210
5111342421442431124
62021330421320100
7130035101564100
oct16072517467244
93381534143540
10969945280164
11344395908063
12137b94866030
1370608784c53
1434d34a36900
151a36ce2e1c9
hexe1d53e6ea4

969945280164 has 243 divisors, whose sum is σ = 2890184744811. Its totient is φ = 273475369440.

The previous prime is 969945280147. The next prime is 969945280177. The reversal of 969945280164 is 461082549969.

The square root of 969945280164 is 984858.

It is a perfect power (a square), and thus also a powerful number.

969945280164 is a `hidden beast` number, since 9 + 6 + 9 + 94 + 528 + 0 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5418688627 + ... + 5418688805.

Almost surely, 2969945280164 is an apocalyptic number.

969945280164 is the 984858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969945280164

969945280164 is an abundant number, since it is smaller than the sum of its proper divisors (1920239464647).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

969945280164 is a wasteful number, since it uses less digits than its factorization.

969945280164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 969945280164 in words is "nine hundred sixty-nine billion, nine hundred forty-five million, two hundred eighty thousand, one hundred sixty-four".