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22773042432 = 28357231241
BaseRepresentation
bin10101001101011000…
…010000110100000000
32011210002111102100000
4111031120100310000
5333114344324212
614243425200000
71434223444500
oct251530206400
964702442300
1022773042432
119726874928
1244b6790000
1321bc05694a
1411606cda00
158d442d1dc
hex54d610d00

22773042432 has 648 divisors, whose sum is σ = 82103653632. Its totient is φ = 6270566400.

The previous prime is 22773042403. The next prime is 22773042443. The reversal of 22773042432 is 23424037722.

22773042432 is a `hidden beast` number, since 227 + 7 + 3 + 0 + 424 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×227730424322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94493832 + ... + 94494072.

Almost surely, 222773042432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22773042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41051826816).

22773042432 is an abundant number, since it is smaller than the sum of its proper divisors (59330611200).

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

22773042432 is an equidigital number, since it uses as much as digits as its factorization.

22773042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 22773042432 in words is "twenty-two billion, seven hundred seventy-three million, forty-two thousand, four hundred thirty-two".