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22956244992 = 21536312
BaseRepresentation
bin10101011000010011…
…001000000000000000
32012020212020002000000
4111120103020000000
5334003244314432
614313532000000
71441606601652
oct253023100000
965225202000
1022956244992
1198102246aa
124548000000
13221acac425
14117ab7c6d2
158e556a57c
hex5584c8000

22956244992 has 336 divisors, whose sum is σ = 71128346715. Its totient is φ = 7405240320.

The previous prime is 22956244981. The next prime is 22956245027. The reversal of 22956244992 is 29944265922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22956244992 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 624 + 4 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11478122496 + 11478122496 = 107136^2 + 107136^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107136.

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

Its product of digits (5598720) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 740524017 + ... + 740524047.

Almost surely, 222956244992 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 22956244992

22956244992 is an abundant number, since it is smaller than the sum of its proper divisors (48172101723).

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

22956244992 is an frugal number, since it uses more digits than its factorization.

22956244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 36 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 22956244992 in words is "twenty-two billion, nine hundred fifty-six million, two hundred forty-four thousand, nine hundred ninety-two".