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57920508114 = 2372738930323
BaseRepresentation
bin110101111100010101…
…001101000011010010
312112111120122200011020
4311330111031003102
51422110122224424
642335221300310
74120216124100
oct657425150322
9175446580136
1057920508114
1122622687027
12b285564696
13560099cb11
142b36624c70
15178eddc079
hexd7c54d0d2

57920508114 has 96 divisors (see below), whose sum is σ = 138139162560. Its totient is φ = 16138096128.

The previous prime is 57920508091. The next prime is 57920508127. The reversal of 57920508114 is 41180502975.

57920508114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894957 + ... + 1925279.

It is an arithmetic number, because the mean of its divisors is an integer number (1438949610).

Almost surely, 257920508114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57920508114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69069581280).

57920508114 is an abundant number, since it is smaller than the sum of its proper divisors (80218654446).

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

57920508114 is a wasteful number, since it uses less digits than its factorization.

57920508114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30504 (or 30497 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 57920508114 in words is "fifty-seven billion, nine hundred twenty million, five hundred eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 73 89 98 146 147 178 219 267 294 438 511 534 623 1022 1246 1533 1869 3066 3577 3738 4361 6497 7154 8722 10731 12994 13083 19491 21462 26166 30323 38982 45479 60646 90958 90969 136437 181938 212261 272874 318353 424522 636706 636783 955059 1273566 1485827 1910118 2213579 2698747 2971654 4427158 4457481 5397494 6640737 8096241 8914962 13281474 15495053 16192482 18891229 30990106 37782458 46485159 56673687 92970318 108465371 113347374 132238603 197008531 216930742 264477206 325396113 394017062 396715809 591025593 650792226 793431618 1182051186 1379059717 2758119434 4137179151 8274358302 9653418019 19306836038 28960254057 57920508114