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22426750234944 = 2633112538922739
BaseRepresentation
bin1010001100101101000100…
…11110110011000101000000
32221101222100210011110102000
411012112202132303011000
510414414441030004234
6115410412401424000
74503164530461066
oct506264236630500
987358323143360
1022426750234944
117167149930700
12262255533b000
13c68aab1a7513
14577663898036
1528d587e07899
hex1465a27b3140

22426750234944 has 672 divisors, whose sum is σ = 74669300496000. Its totient is φ = 6592550215680.

The previous prime is 22426750234943. The next prime is 22426750234961. The reversal of 22426750234944 is 44943205762422.

It is a happy number.

22426750234944 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 67 + 502 + 34 + 9 + 44 = 666.

It is a super-2 number, since 2×224267502349442 (a number of 28 digits) contains 22 as substring.

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 (22426750234943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 986256727 + ... + 986279465.

It is an arithmetic number, because the mean of its divisors is an integer number (111115030500).

Almost surely, 222426750234944 is an apocalyptic number.

22426750234944 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 22426750234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37334650248000).

22426750234944 is an abundant number, since it is smaller than the sum of its proper divisors (52242550261056).

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

22426750234944 is a wasteful number, since it uses less digits than its factorization.

22426750234944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22924 (or 22897 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 22426750234944 in words is "twenty-two trillion, four hundred twenty-six billion, seven hundred fifty million, two hundred thirty-four thousand, nine hundred forty-four".