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220080449088864 = 25357132459126481
BaseRepresentation
bin110010000010100101111000…
…111111010110110101100000
31001212020111002220020201100000
4302002211320333112311200
5212321244224431320424
62100023321302500000
764233200456324130
oct6202457077266540
91055214086221300
10220080449088864
116414065a030591
1220825095134600
1395a5660745780
143c4bd4451cac0
151a69be6a523c9
hexc82978fd6d60

220080449088864 has 576 divisors, whose sum is σ = 799141688916480. Its totient is φ = 58019132252160.

The previous prime is 220080449088817. The next prime is 220080449088869. The reversal of 220080449088864 is 468880944080022.

220080449088864 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 8 + 0 + 4 + 490 + 8 + 88 + 64 = 666.

220080449088864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220080449088869) 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, 1739964504 + ... + 1740090984.

It is an arithmetic number, because the mean of its divisors is an integer number (1387398765480).

Almost surely, 2220080449088864 is an apocalyptic number.

220080449088864 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 220080449088864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399570844458240).

220080449088864 is an abundant number, since it is smaller than the sum of its proper divisors (579061239827616).

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

220080449088864 is a wasteful number, since it uses less digits than its factorization.

220080449088864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128985 (or 128965 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 220080449088864 in words is "two hundred twenty trillion, eighty billion, four hundred forty-nine million, eighty-eight thousand, eight hundred sixty-four".