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8996232960 = 28325111343127
BaseRepresentation
bin10000110000011011…
…11001111100000000
3212012221222222121100
420120031321330000
5121411013423320
64044404254400
7435635501301
oct103015717400
925187888540
108996232960
1138a7158a80
1218b09a1400
13b04a61790
14614b147a8
15379bd5790
hex218379f00

8996232960 has 864 divisors, whose sum is σ = 37712683008. Its totient is φ = 1950842880.

The previous prime is 8996232899. The next prime is 8996232961. The reversal of 8996232960 is 692326998.

8996232960 is a `hidden beast` number, since 8 + 9 + 9 + 623 + 2 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8996232897 and 8996232906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8996232961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70836417 + ... + 70836543.

Almost surely, 28996232960 is an apocalyptic number.

8996232960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8996232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18856341504).

8996232960 is an abundant number, since it is smaller than the sum of its proper divisors (28716450048).

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

8996232960 is a wasteful number, since it uses less digits than its factorization.

8996232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 8996232960 is about 94848.4736830277. The cubic root of 8996232960 is about 2079.7935692569.

The spelling of 8996232960 in words is "eight billion, nine hundred ninety-six million, two hundred thirty-two thousand, nine hundred sixty".