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23873138795520 = 210335740036163
BaseRepresentation
bin1010110110110011001011…
…11101010010010000000000
310010112020202002102021222000
411123121211331102100000
511112114142012424040
6122435100224144000
75012530430416020
oct533314575222000
9103466662367860
1023873138795520
1176745a552a063
122816935a68000
1310422c55971b1
145c7674d07a80
152b5edd83b130
hex15b665f52400

23873138795520 has 704 divisors, whose sum is σ = 97000901437440. Its totient is φ = 5454469103616.

The previous prime is 23873138795507. The next prime is 23873138795557. The reversal of 23873138795520 is 2559783137832.

23873138795520 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 3 + 1 + 3 + 8 + 79 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3873619959 + ... + 3873626121.

It is an arithmetic number, because the mean of its divisors is an integer number (137785371360).

Almost surely, 223873138795520 is an apocalyptic number.

23873138795520 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 23873138795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48500450718720).

23873138795520 is an abundant number, since it is smaller than the sum of its proper divisors (73127762641920).

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

23873138795520 is a wasteful number, since it uses less digits than its factorization.

23873138795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10207 (or 10183 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 23873138795520 in words is "twenty-three trillion, eight hundred seventy-three billion, one hundred thirty-eight million, seven hundred ninety-five thousand, five hundred twenty".