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23419393920 = 2734513193159
BaseRepresentation
bin10101110011111001…
…111001011110000000
32020110010201110220000
4111303321321132000
5340430331101140
614431514520000
71456232364246
oct256371713600
966403643800
1023419393920
119a2870130a
124657136000
132292c31050
1411c24a0796
15921054a30
hex573e79780

23419393920 has 1280 divisors, whose sum is σ = 99525888000. Its totient is φ = 5195612160.

The previous prime is 23419393913. The next prime is 23419393969. The reversal of 23419393920 is 2939391432.

23419393920 is a `hidden beast` number, since 234 + 1 + 9 + 393 + 9 + 20 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 396938851 + ... + 396938909.

It is an arithmetic number, because the mean of its divisors is an integer number (77754600).

Almost surely, 223419393920 is an apocalyptic number.

23419393920 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 23419393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762944000).

23419393920 is an abundant number, since it is smaller than the sum of its proper divisors (76106494080).

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

23419393920 is a wasteful number, since it uses less digits than its factorization.

23419393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

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

The spelling of 23419393920 in words is "twenty-three billion, four hundred nineteen million, three hundred ninety-three thousand, nine hundred twenty".