Search a number
-
+
57391805856 = 25372113137967
BaseRepresentation
bin110101011100110100…
…010111010110100000
312111010201210211000010
4311130310113112200
51420014300241411
642210533324520
74101136205100
oct653464272640
9174121724003
1057391805856
11223811a6210
12b158496740
1355482a8648
142ac631b200
15175d7a47a6
hexd5cd175a0

57391805856 has 576 divisors, whose sum is σ = 202892304384. Its totient is φ = 14021683200.

The previous prime is 57391805773. The next prime is 57391805873. The reversal of 57391805856 is 65850819375.

It is a happy number.

57391805856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57391805796 and 57391805805.

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, 59349885 + ... + 59350851.

It is an arithmetic number, because the mean of its divisors is an integer number (352243584).

Almost surely, 257391805856 is an apocalyptic number.

57391805856 is a gapful number since it is divisible by the number (56) 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 57391805856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101446152192).

57391805856 is an abundant number, since it is smaller than the sum of its proper divisors (145500498528).

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

57391805856 is a wasteful number, since it uses less digits than its factorization.

57391805856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 57391805856 in words is "fifty-seven billion, three hundred ninety-one million, eight hundred five thousand, eight hundred fifty-six".