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22976055648 = 2534713259127
BaseRepresentation
bin10101011001011110…
…101100100101100000
32012022020111120010000
4111121132230211200
5334023332240043
614315520340000
71442240151660
oct253136544540
965266446100
1022976055648
119820425747
124552774600
132222127600
14117d6581a0
158e71802d3
hex5597ac960

22976055648 has 720 divisors, whose sum is σ = 85709352960. Its totient is φ = 5910008832.

The previous prime is 22976055647. The next prime is 22976055667. The reversal of 22976055648 is 84655067922.

22976055648 is a `hidden beast` number, since 2 + 2 + 9 + 76 + 0 + 5 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22976055594 and 22976055603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22976055647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 180913761 + ... + 180913887.

It is an arithmetic number, because the mean of its divisors is an integer number (119040768).

Almost surely, 222976055648 is an apocalyptic number.

22976055648 is a gapful number since it is divisible by the number (28) 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 22976055648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854676480).

22976055648 is an abundant number, since it is smaller than the sum of its proper divisors (62733297312).

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

22976055648 is a wasteful number, since it uses less digits than its factorization.

22976055648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 22976055648 in words is "twenty-two billion, nine hundred seventy-six million, fifty-five thousand, six hundred forty-eight".