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23920081145856 = 212347212132
BaseRepresentation
bin1010111000001010100111…
…11100001001000000000000
310010200201220120201202210000
411130011103330021000000
511113401311233131411
6122512422241440000
75016111624001200
oct534052374110000
9103621816652700
1023920081145856
1176924a4236715
122823a56940000
131046866a1945c
145c9a49506400
152b7339a50956
hex15c153f09000

23920081145856 has 585 divisors, whose sum is σ = 83191112953641. Its totient is φ = 6828674678784.

The previous prime is 23920081145809. The next prime is 23920081145927. The reversal of 23920081145856 is 65854118002932.

The square root of 23920081145856 is 4890816.

It is a perfect power (a square), and thus also a powerful number.

23920081145856 is a `hidden beast` number, since 2 + 39 + 20 + 0 + 8 + 1 + 1 + 4 + 585 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 975827865600 + 22944253280256 = 987840^2 + 4790016^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19719769506 + ... + 19719770718.

Almost surely, 223920081145856 is an apocalyptic number.

23920081145856 is the 4890816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23920081145856

23920081145856 is an abundant number, since it is smaller than the sum of its proper divisors (59271031807785).

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

23920081145856 is an frugal number, since it uses more digits than its factorization.

23920081145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 23920081145856 in words is "twenty-three trillion, nine hundred twenty billion, eighty-one million, one hundred forty-five thousand, eight hundred fifty-six".