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22889604672 = 263511133801
BaseRepresentation
bin10101010100010100…
…111010011001000000
32012002012211101200000
4111110110322121000
5333334214322142
614303151400000
71440140300214
oct252424723100
965065741600
1022889604672
119786648860
124529823000
13220a248b9c
141171d92944
158de7a514c
hex55453a640

22889604672 has 168 divisors, whose sum is σ = 74224786272. Its totient is φ = 6936192000.

The previous prime is 22889604671. The next prime is 22889604691. The reversal of 22889604672 is 27640698822.

22889604672 is a `hidden beast` number, since 2 + 28 + 8 + 9 + 604 + 6 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22889604671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104172 + ... + 237972.

It is an arithmetic number, because the mean of its divisors is an integer number (441814204).

Almost surely, 222889604672 is an apocalyptic number.

22889604672 is a gapful number since it is divisible by the number (22) 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 22889604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37112393136).

22889604672 is an abundant number, since it is smaller than the sum of its proper divisors (51335181600).

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

22889604672 is a wasteful number, since it uses less digits than its factorization.

22889604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133839 (or 133817 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 22889604672 in words is "twenty-two billion, eight hundred eighty-nine million, six hundred four thousand, six hundred seventy-two".