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22644550656 = 2103271323167
BaseRepresentation
bin10101000101101110…
…000110110000000000
32011110010201100202100
4111011232012300000
5332334001110111
614222555150400
71431103335060
oct250556066000
964403640670
1022644550656
119670293082
12447b745400
13219b548800
14114b6033a0
158c7eeb756
hex545b86c00

22644550656 has 792 divisors, whose sum is σ = 84773704704. Its totient is φ = 5693276160.

The previous prime is 22644550627. The next prime is 22644550661. The reversal of 22644550656 is 65605544622.

22644550656 is a `hidden beast` number, since 2 + 2 + 6 + 44 + 550 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 337978335 + ... + 337978401.

Almost surely, 222644550656 is an apocalyptic number.

22644550656 is a gapful number since it is divisible by the number (26) 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 22644550656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42386852352).

22644550656 is an abundant number, since it is smaller than the sum of its proper divisors (62129154048).

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

22644550656 is a wasteful number, since it uses less digits than its factorization.

22644550656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 22644550656 in words is "twenty-two billion, six hundred forty-four million, five hundred fifty thousand, six hundred fifty-six".