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969375105468 = 2233711223479803
BaseRepresentation
bin11100001101100110100…
…00100100000110111100
310102200010102021120222000
432012303100210012330
5111340240011333333
62021154052422300
7130015006305150
oct16066320440674
93380112246860
10969375105468
11344122a80400
12137a55917990
13705475cc983
1434cbd015060
151a337d53713
hexe1b34241bc

969375105468 has 576 divisors, whose sum is σ = 3364770447360. Its totient is φ = 235690266240.

The previous prime is 969375105449. The next prime is 969375105499. The reversal of 969375105468 is 864501573969.

969375105468 is a `hidden beast` number, since 9 + 6 + 9 + 3 + 7 + 510 + 54 + 68 = 666.

It is a super-2 number, since 2×9693751054682 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98880655 + ... + 98890457.

It is an arithmetic number, because the mean of its divisors is an integer number (5841615360).

Almost surely, 2969375105468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969375105468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682385223680).

969375105468 is an abundant number, since it is smaller than the sum of its proper divisors (2395395341892).

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

969375105468 is a wasteful number, since it uses less digits than its factorization.

969375105468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9915 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 969375105468 in words is "nine hundred sixty-nine billion, three hundred seventy-five million, one hundred five thousand, four hundred sixty-eight".