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9086660352 = 28357211271
BaseRepresentation
bin10000111011001101…
…10110111100000000
3212110021011011200000
420131212312330000
5122102141112402
64101354400000
7441114224100
oct103546667400
925407134600
109086660352
113943201460
121917130000
13b1a703103
14622b33200
15382ae8c1c
hex21d9b6f00

9086660352 has 648 divisors, whose sum is σ = 34605672192. Its totient is φ = 2351462400.

The previous prime is 9086660329. The next prime is 9086660357. The reversal of 9086660352 is 2530666809.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a junction number, because it is equal to n+sod(n) for n = 9086660298 and 9086660307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9086660357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33529977 + ... + 33530247.

Almost surely, 29086660352 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 9086660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302836096).

9086660352 is an abundant number, since it is smaller than the sum of its proper divisors (25519011840).

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

9086660352 is a wasteful number, since it uses less digits than its factorization.

9086660352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9086660352 is about 95323.9757458741. The cubic root of 9086660352 is about 2086.7388341202.

The spelling of 9086660352 in words is "nine billion, eighty-six million, six hundred sixty thousand, three hundred fifty-two".