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23149739520 = 293352911549
BaseRepresentation
bin10101100011110101…
…001111111000000000
32012202100022121121000
4111203311033320000
5334402313131040
614345043132000
71446446352645
oct254365177000
965670277530
1023149739520
1198aa473a36
1245a0974000
13224c0c962b
141198749dcc
1590753c130
hex563d4fe00

23149739520 has 320 divisors, whose sum is σ = 85072680000. Its totient is φ = 5959876608.

The previous prime is 23149739519. The next prime is 23149739563. The reversal of 23149739520 is 2593794132.

23149739520 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 97 + 39 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1998706 + ... + 2010254.

It is an arithmetic number, because the mean of its divisors is an integer number (265852125).

Almost surely, 223149739520 is an apocalyptic number.

23149739520 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 23149739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42536340000).

23149739520 is an abundant number, since it is smaller than the sum of its proper divisors (61922940480).

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

23149739520 is a wasteful number, since it uses less digits than its factorization.

23149739520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610 (or 11588 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 23149739520 in words is "twenty-three billion, one hundred forty-nine million, seven hundred thirty-nine thousand, five hundred twenty".