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57477185536 = 21418732
BaseRepresentation
bin110101100001111010…
…000100000000000000
312111100200110112220111
4311201322010000000
51420203124414121
642223223321104
74103224005331
oct654172040000
9174320415814
1057477185536
1122415411231
12b180bb0194
13555cba0574
142ad37c4288
15176601c2e1
hexd61e84000

57477185536 has 45 divisors (see below), whose sum is σ = 115012268301. Its totient is φ = 28723249152.

The previous prime is 57477185533. The next prime is 57477185581. The reversal of 57477185536 is 63558177475.

The square root of 57477185536 is 239744.

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

It can be written as a sum of positive squares in only one way, i.e., 1524121600 + 55953063936 = 39040^2 + 236544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57477185533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 30686296 + ... + 30688168.

Almost surely, 257477185536 is an apocalyptic number.

57477185536 is the 239744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57477185536

57477185536 is an abundant number, since it is smaller than the sum of its proper divisors (57535082765).

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

57477185536 is an frugal number, since it uses more digits than its factorization.

57477185536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 1875 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 58.

The spelling of 57477185536 in words is "fifty-seven billion, four hundred seventy-seven million, one hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1873 2048 3746 4096 7492 8192 14984 16384 29968 59936 119872 239744 479488 958976 1917952 3508129 3835904 7016258 7671808 14032516 15343616 28065032 30687232 56130064 112260128 224520256 449040512 898081024 1796162048 3592324096 7184648192 14369296384 28738592768 57477185536