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22978904256 = 263571131619
BaseRepresentation
bin10101011001101001…
…100100000011000000
32012022102212021200000
4111121221210003000
5334030044414011
614320101400000
71442303314650
oct253151440300
965272767600
1022978904256
119821aa0970
124553709000
1322228b4089
14117db9a360
158e7544356
hex559a640c0

22978904256 has 672 divisors, whose sum is σ = 88047697920. Its totient is φ = 5766681600.

The previous prime is 22978904219. The next prime is 22978904297. The reversal of 22978904256 is 65240987922.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 37122315 + ... + 37122933.

It is an arithmetic number, because the mean of its divisors is an integer number (131023360).

Almost surely, 222978904256 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 22978904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44023848960).

22978904256 is an abundant number, since it is smaller than the sum of its proper divisors (65068793664).

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

22978904256 is a wasteful number, since it uses less digits than its factorization.

22978904256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 22978904256 in words is "twenty-two billion, nine hundred seventy-eight million, nine hundred four thousand, two hundred fifty-six".