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23880207456 = 2534719531307
BaseRepresentation
bin10110001111010111…
…110000110001100000
32021122020211020020000
4112033113300301200
5342401313114311
614545335420000
71503526262040
oct261727606140
967566736200
1023880207456
11a144833346
124765524600
132337545991
141227775720
1594b72c056
hex58f5f0c60

23880207456 has 480 divisors, whose sum is σ = 86148437760. Its totient is φ = 6337004544.

The previous prime is 23880207433. The next prime is 23880207457. The reversal of 23880207456 is 65470208832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23880207457) 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 79 ways as a sum of consecutive naturals, for example, 18270355 + ... + 18271661.

It is an arithmetic number, because the mean of its divisors is an integer number (179475912).

Almost surely, 223880207456 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 23880207456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43074218880).

23880207456 is an abundant number, since it is smaller than the sum of its proper divisors (62268230304).

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

23880207456 is a wasteful number, since it uses less digits than its factorization.

23880207456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 23880207456 in words is "twenty-three billion, eight hundred eighty million, two hundred seven thousand, four hundred fifty-six".