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568753049475072 = 211367311313257
BaseRepresentation
bin1000000101010001110010001…
…1011110101001100000000000
32202120210021000220210112000000
42001110130203132221200000
51044021422221131200242
65333345313252000000
7230541023525145000
oct20124344336514000
92676707026715000
10568753049475072
111552498a5081590
1253958199600000
131b54824aa5a9a7
14a063b1a06c000
1545b488a92ba4c
hex20547237a9800

568753049475072 has 2688 divisors, whose sum is σ = 2239836738048000. Its totient is φ = 142918749388800.

The previous prime is 568753049475043. The next prime is 568753049475151. The reversal of 568753049475072 is 270574940357865.

568753049475072 is a `hidden beast` number, since 5 + 6 + 8 + 7 + 5 + 30 + 49 + 47 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 174624821668 + ... + 174624824924.

It is an arithmetic number, because the mean of its divisors is an integer number (833272596000).

Almost surely, 2568753049475072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 568753049475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119918369024000).

568753049475072 is an abundant number, since it is smaller than the sum of its proper divisors (1671083688572928).

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

568753049475072 is an equidigital number, since it uses as much as digits as its factorization.

568753049475072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 1778112000, while the sum is 72.

The spelling of 568753049475072 in words is "five hundred sixty-eight trillion, seven hundred fifty-three billion, forty-nine million, four hundred seventy-five thousand, seventy-two".