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9290666880 = 2732511331443
BaseRepresentation
bin10001010011100010…
…00101001110000000
3212222111000210000100
420221301011032000
5123011402320010
64133523122400
7446142236235
oct105161051600
925874023010
109290666880
113a383805a0
121973513400
13b50a60c31
14641c7978c
153959952c0
hex229c45380

9290666880 has 384 divisors, whose sum is σ = 35183341440. Its totient is φ = 2240409600.

The previous prime is 9290666849. The next prime is 9290666927. The reversal of 9290666880 is 886660929.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20971939 + ... + 20972381.

It is an arithmetic number, because the mean of its divisors is an integer number (91623285).

Almost surely, 29290666880 is an apocalyptic number.

9290666880 is a gapful number since it is divisible by the number (90) 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 9290666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591670720).

9290666880 is an abundant number, since it is smaller than the sum of its proper divisors (25892674560).

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

9290666880 is a wasteful number, since it uses less digits than its factorization.

9290666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 9290666880 is about 96388.1054902523. The cubic root of 9290666880 is about 2102.2400043656.

The spelling of 9290666880 in words is "nine billion, two hundred ninety million, six hundred sixty-six thousand, eight hundred eighty".