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57389898375 = 3253173000779
BaseRepresentation
bin110101011100101101…
…000101101010000111
312111010121012220102200
4311130231011222013
51420013303222000
642210424405543
74101114041655
oct653455055207
9174117186380
1057389898375
1122380113087
12b1579168b3
135547a8b364
142ac5d81dd5
15175d529500
hexd5cb45a87

57389898375 has 48 divisors (see below), whose sum is σ = 109540473120. Its totient is φ = 28807468800.

The previous prime is 57389898359. The next prime is 57389898407.

57389898375 is a `hidden beast` number, since 57 + 38 + 98 + 98 + 375 = 666.

57389898375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57389898375 - 24 = 57389898359 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1481265 + ... + 1519514.

It is an arithmetic number, because the mean of its divisors is an integer number (2282093190).

Almost surely, 257389898375 is an apocalyptic number.

57389898375 is a deficient number, since it is larger than the sum of its proper divisors (52150574745).

57389898375 is a wasteful number, since it uses less digits than its factorization.

57389898375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000817 (or 3000804 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 57389898375 in words is "fifty-seven billion, three hundred eighty-nine million, eight hundred ninety-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 765 1125 1275 2125 3825 6375 19125 3000779 9002337 15003895 27007011 45011685 51013243 75019475 135035055 153039729 225058425 255066215 375097375 459119187 675175275 765198645 1125292125 1275331075 2295595935 3375876375 3825993225 6376655375 11477979675 19129966125 57389898375