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23965381746 = 232172941199331
BaseRepresentation
bin10110010100011100…
…101011010001110010
32021212012002112101100
4112110130223101302
5343040114203441
615002021145230
71505612245425
oct262434532162
967765075340
1023965381746
11a188919019
124789b5b216
13234c098277
141234bc79bc
15953e53cb6
hex59472b472

23965381746 has 192 divisors, whose sum is σ = 58732128000. Its totient is φ = 7025356800.

The previous prime is 23965381723. The next prime is 23965381751. The reversal of 23965381746 is 64718356932.

23965381746 is a `hidden beast` number, since 2 + 3 + 96 + 538 + 17 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23965381692 and 23965381701.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 72402801 + ... + 72403131.

It is an arithmetic number, because the mean of its divisors is an integer number (305896500).

Almost surely, 223965381746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23965381746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29366064000).

23965381746 is an abundant number, since it is smaller than the sum of its proper divisors (34766746254).

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

23965381746 is a wasteful number, since it uses less digits than its factorization.

23965381746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 622 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 23965381746 in words is "twenty-three billion, nine hundred sixty-five million, three hundred eighty-one thousand, seven hundred forty-six".