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23968185930 = 239513171929
BaseRepresentation
bin10110010100100111…
…010111111001001010
32021212101101000000000
4112110213113321022
5343041323422210
615002201223430
71505645135043
oct262447277112
967771330000
1023968185930
11a18a463927
12478aa91b76
13234c83a750
1412353178ca
15954309ac0
hex5949d7e4a

23968185930 has 640 divisors, whose sum is σ = 80352518400. Its totient is φ = 5079158784.

The previous prime is 23968185929. The next prime is 23968185937. The reversal of 23968185930 is 3958186932.

23968185930 is a `hidden beast` number, since 2 + 39 + 6 + 8 + 18 + 593 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23968185937) 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 319 ways as a sum of consecutive naturals, for example, 826489156 + ... + 826489184.

It is an arithmetic number, because the mean of its divisors is an integer number (125550810).

Almost surely, 223968185930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23968185930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176259200).

23968185930 is an abundant number, since it is smaller than the sum of its proper divisors (56384332470).

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

23968185930 is a wasteful number, since it uses less digits than its factorization.

23968185930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 23968185930 in words is "twenty-three billion, nine hundred sixty-eight million, one hundred eighty-five thousand, nine hundred thirty".