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23496061044960 = 253257192379251269
BaseRepresentation
bin1010101011110100110100…
…10111110100100011100000
310002012012102220002211211200
411111322122113310203200
511034424413111414320
6121545535203241200
74643351203420410
oct525723227644340
9102165386084750
1023496061044960
117539694a11a69
12277583b379200
131015890b9477a
145b3303194640
152ab2be4e5290
hex155e9a5f48e0

23496061044960 has 2304 divisors, whose sum is σ = 102711877632000. Its totient is φ = 4768118784000.

The previous prime is 23496061044959. The next prime is 23496061045019. The reversal of 23496061044960 is 6944016069432.

23496061044960 is a `hidden beast` number, since 2 + 3 + 4 + 96 + 0 + 61 + 0 + 4 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23496061044897 and 23496061044906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 87345951706 + ... + 87345951974.

It is an arithmetic number, because the mean of its divisors is an integer number (44579808000).

Almost surely, 223496061044960 is an apocalyptic number.

23496061044960 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 23496061044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51355938816000).

23496061044960 is an abundant number, since it is smaller than the sum of its proper divisors (79215816587040).

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

23496061044960 is a wasteful number, since it uses less digits than its factorization.

23496061044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 23496061044960 in words is "twenty-three trillion, four hundred ninety-six billion, sixty-one million, forty-four thousand, nine hundred sixty".