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57627311744 = 273713788817
BaseRepresentation
bin110101101010110110…
…101111111010000000
312111202010221202100102
4311222312233322000
51421010042433434
642250145141532
74110026032142
oct655266577200
9174663852312
1057627311744
112249212a282
12b20332a8a8
135585014a42
142b09702c92
1517742c407e
hexd6adafe80

57627311744 has 64 divisors (see below), whose sum is σ = 118769205960. Its totient is φ = 27829960704.

The previous prime is 57627311683. The next prime is 57627311767. The reversal of 57627311744 is 44711372675.

It can be written as a sum of positive squares in 4 ways, for example, as 56206926400 + 1420385344 = 237080^2 + 37688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604424 + ... + 693240.

Almost surely, 257627311744 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 57627311744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59384602980).

57627311744 is an abundant number, since it is smaller than the sum of its proper divisors (61141894216).

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

57627311744 is a wasteful number, since it uses less digits than its factorization.

57627311744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89005 (or 88993 counting only the distinct ones).

The product of its digits is 987840, while the sum is 47.

The spelling of 57627311744 in words is "fifty-seven billion, six hundred twenty-seven million, three hundred eleven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 137 148 274 296 548 592 1096 1184 2192 2368 4384 4736 5069 8768 10138 17536 20276 40552 81104 88817 162208 177634 324416 355268 648832 710536 1421072 2842144 3286229 5684288 6572458 11368576 12167929 13144916 24335858 26289832 48671716 52579664 97343432 105159328 194686864 210318656 389373728 420637312 450213373 778747456 900426746 1557494912 1800853492 3601706984 7203413968 14406827936 28813655872 57627311744