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57456061245 = 325111071084793
BaseRepresentation
bin110101100000101001…
…011110101100111101
312111022012201022211100
4311200221132230331
51420132222424440
642221150443313
74102546314432
oct654051365475
9174265638740
1057456061245
11224044a3240
12b175b03539
1355586b549b
142ad0a85b89
151764248230
hexd60a5eb3d

57456061245 has 48 divisors (see below), whose sum is σ = 109659655872. Its totient is φ = 27597108480.

The previous prime is 57456061147. The next prime is 57456061249. The reversal of 57456061245 is 54216065475.

57456061245 is a `hidden beast` number, since 5 + 7 + 4 + 560 + 61 + 24 + 5 = 666.

It is not a de Polignac number, because 57456061245 - 28 = 57456060989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 57456061245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57456061249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489432 + ... + 595361.

It is an arithmetic number, because the mean of its divisors is an integer number (2284576164).

Almost surely, 257456061245 is an apocalyptic number.

57456061245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57456061245 is a deficient number, since it is larger than the sum of its proper divisors (52203594627).

57456061245 is a wasteful number, since it uses less digits than its factorization.

57456061245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084922 (or 1084919 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 57456061245 in words is "fifty-seven billion, four hundred fifty-six million, sixty-one thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 107 165 321 495 535 963 1177 1605 3531 4815 5885 10593 17655 52965 1084793 3254379 5423965 9763137 11932723 16271895 35798169 48815685 59663615 107394507 116072851 178990845 348218553 536972535 580364255 1044655659 1276801361 1741092765 3830404083 5223278295 6384006805 11491212249 19152020415 57456061245