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22538494944 = 253571923137
BaseRepresentation
bin10100111111011001…
…100010001111100000
32011011202011011200000
4110333121202033200
5332124323314234
614204250100000
71425345021540
oct247731421740
964152134600
1022538494944
119616435929
12445011a600
132182594854
14113b4b7320
158bda4c899
hex53f6623e0

22538494944 has 864 divisors, whose sum is σ = 84994430976. Its totient is φ = 5744286720.

The previous prime is 22538494943. The next prime is 22538494967. The reversal of 22538494944 is 44949483522.

22538494944 is a `hidden beast` number, since 22 + 53 + 84 + 9 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22538494943) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 609148494 + ... + 609148530.

It is an arithmetic number, because the mean of its divisors is an integer number (98373184).

Almost surely, 222538494944 is an apocalyptic number.

22538494944 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 22538494944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497215488).

22538494944 is an abundant number, since it is smaller than the sum of its proper divisors (62455936032).

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

22538494944 is a wasteful number, since it uses less digits than its factorization.

22538494944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 99 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 22538494944 in words is "twenty-two billion, five hundred thirty-eight million, four hundred ninety-four thousand, nine hundred forty-four".