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23934193920 = 2832571317279
BaseRepresentation
bin10110010010100101…
…101101000100000000
32021210000102000201200
4112102211231010000
5343004123201140
614554544501200
71505053202010
oct262245550400
967700360650
1023934193920
11a17225715a
12477b61a800
132345798730
1412309c9c40
15951343030
hex59296d100

23934193920 has 1296 divisors, whose sum is σ = 109638197760. Its totient is φ = 4692639744.

The previous prime is 23934193919. The next prime is 23934193979. The reversal of 23934193920 is 2939143932.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 302964441 + ... + 302964519.

Almost surely, 223934193920 is an apocalyptic number.

23934193920 is a gapful number since it is divisible by the number (20) 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 23934193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54819098880).

23934193920 is an abundant number, since it is smaller than the sum of its proper divisors (85704003840).

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

23934193920 is a wasteful number, since it uses less digits than its factorization.

23934193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 23934193920 in words is "twenty-three billion, nine hundred thirty-four million, one hundred ninety-three thousand, nine hundred twenty".