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220099428864 = 2932718137699
BaseRepresentation
bin1100110011111011110…
…0101100001000000000
3210001010002220110111200
43030332330230020000
512101230423210424
6245040130341200
721621161163660
oct3147674541000
9701102813450
10220099428864
1185386431637
12367a6a2a800
13179a849a653
14a91d68a1a0
155ad2cd08c9
hex333ef2c200

220099428864 has 240 divisors, whose sum is σ = 729998068800. Its totient is φ = 62536458240.

The previous prime is 220099428841. The next prime is 220099428883. The reversal of 220099428864 is 468824990022.

220099428864 is a `hidden beast` number, since 2 + 200 + 9 + 9 + 428 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 220099428864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5819487 + ... + 5857185.

It is an arithmetic number, because the mean of its divisors is an integer number (3041658620).

Almost surely, 2220099428864 is an apocalyptic number.

220099428864 is a gapful number since it is divisible by the number (24) 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 220099428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364999034400).

220099428864 is an abundant number, since it is smaller than the sum of its proper divisors (509898639936).

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

220099428864 is a wasteful number, since it uses less digits than its factorization.

220099428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37911 (or 37892 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 220099428864 in words is "two hundred twenty billion, ninety-nine million, four hundred twenty-eight thousand, eight hundred sixty-four".