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57720452770656 = 2532132331139155557
BaseRepresentation
bin11010001111111000101110…
…00101010110101101100000
321120101000120121010001002100
431013330113011112231200
530031142441402130111
6322432224314050400
715105110425250664
oct1507742705265540
9246330517101070
1057720452770656
1117434119902375
12658273aa19a00
13262902791cca0
14103798320a8a4
156a1694cbb756
hex347f17156b60

57720452770656 has 576 divisors, whose sum is σ = 191775685570560. Its totient is φ = 16321582632960.

The previous prime is 57720452770649. The next prime is 57720452770681. The reversal of 57720452770656 is 65607725402775.

It is a happy number.

57720452770656 is a `hidden beast` number, since 57 + 7 + 2 + 0 + 4 + 527 + 7 + 0 + 6 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57720452770593 and 57720452770602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 370978830 + ... + 371134386.

It is an arithmetic number, because the mean of its divisors is an integer number (332943898560).

Almost surely, 257720452770656 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 57720452770656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95887842785280).

57720452770656 is an abundant number, since it is smaller than the sum of its proper divisors (134055232799904).

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

57720452770656 is a wasteful number, since it uses less digits than its factorization.

57720452770656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155779 (or 155768 counting only the distinct ones).

The product of its (nonzero) digits is 172872000, while the sum is 63.

The spelling of 57720452770656 in words is "fifty-seven trillion, seven hundred twenty billion, four hundred fifty-two million, seven hundred seventy thousand, six hundred fifty-six".