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9927220680 = 2335513251313
BaseRepresentation
bin10010011111011010…
…10101110111001000
3221121211211001200000
421033231111313020
5130312332030210
64321022443000
7501001661226
oct111755256710
927554731600
109927220680
114234725913
121b10733460
13c228b78a0
146a2619b16
153d17d3ac0
hex24fb55dc8

9927220680 has 384 divisors, whose sum is σ = 36291265920. Its totient is φ = 2426112000.

The previous prime is 9927220673. The next prime is 9927220697. The reversal of 9927220680 is 860227299.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31716204 + ... + 31716516.

It is an arithmetic number, because the mean of its divisors is an integer number (94508505).

Almost surely, 29927220680 is an apocalyptic number.

9927220680 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 9927220680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18145632960).

9927220680 is an abundant number, since it is smaller than the sum of its proper divisors (26364045240).

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

9927220680 is a wasteful number, since it uses less digits than its factorization.

9927220680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9927220680 is about 99635.4388759341. The cubic root of 9927220680 is about 2149.1953491534.

The spelling of 9927220680 in words is "nine billion, nine hundred twenty-seven million, two hundred twenty thousand, six hundred eighty".