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23093351424 = 210351121359
BaseRepresentation
bin10101100000011110…
…001001010000000000
32012121102012210200000
4111200132021100000
5334243344221144
614335310400000
71445163151113
oct254036112000
965542183600
1023093351424
11988065a800
124585b00000
1322405156b0
14119106c57a
159025ee769
hex560789400

23093351424 has 792 divisors, whose sum is σ = 83243465760. Its totient is φ = 6350192640.

The previous prime is 23093351417. The next prime is 23093351443. The reversal of 23093351424 is 42415339032.

23093351424 is a `hidden beast` number, since 2 + 30 + 93 + 3 + 514 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391412707 + ... + 391412765.

Almost surely, 223093351424 is an apocalyptic number.

23093351424 is a gapful number since it is divisible by the number (24) 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 23093351424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41621732880).

23093351424 is an abundant number, since it is smaller than the sum of its proper divisors (60150114336).

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

23093351424 is a wasteful number, since it uses less digits than its factorization.

23093351424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 23093351424 in words is "twenty-three billion, ninety-three million, three hundred fifty-one thousand, four hundred twenty-four".