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23016216096 = 2534291272411
BaseRepresentation
bin10101011011110111…
…111001011000100000
32012102001001220220000
4111123313321120200
5334114122403341
614323513220000
71443235415556
oct253367713040
965361056800
1023016216096
1198410658a5
124564101600
13222a5491a3
141184b0dbd6
158ea9648b6
hex55bdf9620

23016216096 has 240 divisors, whose sum is σ = 70604835840. Its totient is φ = 7346142720.

The previous prime is 23016216079. The next prime is 23016216107. The reversal of 23016216096 is 69061261032.

It is a happy number.

23016216096 is a `hidden beast` number, since 2 + 30 + 16 + 2 + 1 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23016216096.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9545131 + ... + 9547541.

It is an arithmetic number, because the mean of its divisors is an integer number (294186816).

Almost surely, 223016216096 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 23016216096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35302417920).

23016216096 is an abundant number, since it is smaller than the sum of its proper divisors (47588619744).

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

23016216096 is a wasteful number, since it uses less digits than its factorization.

23016216096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 23016216096 in words is "twenty-three billion, sixteen million, two hundred sixteen thousand, ninety-six".