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23104646208 = 2632723126407
BaseRepresentation
bin10101100001001001…
…001110110001000000
32012122012110122012100
4111201021032301000
5334304242134313
614340352430400
71445361152400
oct254111166100
965565418170
1023104646208
119886a74736
124589848400
13224296b6b7
14119276c800
159035d1173
hex56124ec40

23104646208 has 252 divisors, whose sum is σ = 79525684992. Its totient is φ = 6388139520.

The previous prime is 23104646167. The next prime is 23104646221. The reversal of 23104646208 is 80264640132.

23104646208 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 4 + 646 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

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 35 ways as a sum of consecutive naturals, for example, 861741 + ... + 888147.

Almost surely, 223104646208 is an apocalyptic number.

23104646208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23104646208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39762842496).

23104646208 is an abundant number, since it is smaller than the sum of its proper divisors (56421038784).

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

23104646208 is a wasteful number, since it uses less digits than its factorization.

23104646208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26470 (or 26450 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 23104646208 in words is "twenty-three billion, one hundred four million, six hundred forty-six thousand, two hundred eight".