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57380105355 = 351719101117259
BaseRepresentation
bin110101011100000111…
…101110110010001011
312111002220210100221020
4311130013232302023
51420003301332410
642205434443523
74100634563616
oct653407566213
9174086710836
1057380105355
1122375634481
12b1545935a3
135545a3ca81
142ac495317d
15175c742a70
hexd5c1eec8b

57380105355 has 64 divisors (see below), whose sum is σ = 103338892800. Its totient is φ = 27016243200.

The previous prime is 57380105353. The next prime is 57380105401. The reversal of 57380105355 is 55350108375.

It is not a de Polignac number, because 57380105355 - 21 = 57380105353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57380105351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430716 + ... + 547974.

It is an arithmetic number, because the mean of its divisors is an integer number (1614670200).

Almost surely, 257380105355 is an apocalyptic number.

57380105355 is a deficient number, since it is larger than the sum of its proper divisors (45958787445).

57380105355 is a wasteful number, since it uses less digits than its factorization.

57380105355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117404.

The product of its (nonzero) digits is 315000, while the sum is 42.

It can be divided in two parts, 57380 and 105355, that added together give a triangular number (162735 = T570).

The spelling of 57380105355 in words is "fifty-seven billion, three hundred eighty million, one hundred five thousand, three hundred fifty-five".

Divisors: 1 3 5 15 17 19 51 57 85 95 101 255 285 303 323 505 969 1515 1615 1717 1919 4845 5151 5757 8585 9595 25755 28785 32623 97869 117259 163115 351777 489345 586295 1758885 1993403 2227921 5980209 6683763 9967015 11139605 11843159 29901045 33418815 35529477 37874657 59215795 113623971 177647385 189373285 201333703 225020021 568119855 604001109 675060063 1006668515 1125100105 3020005545 3375300315 3825340357 11476021071 19126701785 57380105355