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57128468133 = 31129212131697
BaseRepresentation
bin110101001101000111…
…110011111010100101
312110110101021212120010
4311031013303322211
51413444341440013
642124445200433
74061460652452
oct651507637245
9173411255503
1057128468133
1122256592730
12b0a4260119
1355058760c9
142a9d36c829
1517455d87c3
hexd4d1f3ea5

57128468133 has 48 divisors (see below), whose sum is σ = 86181840576. Its totient is φ = 33382164480.

The previous prime is 57128468113. The next prime is 57128468153. The reversal of 57128468133 is 33186482175.

It is an interprime number because it is at equal distance from previous prime (57128468113) and next prime (57128468153).

It is not a de Polignac number, because 57128468133 - 26 = 57128468069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57128468113) 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, 33663541 + ... + 33665237.

It is an arithmetic number, because the mean of its divisors is an integer number (1795455012).

Almost surely, 257128468133 is an apocalyptic number.

It is an amenable number.

57128468133 is a deficient number, since it is larger than the sum of its proper divisors (29053372443).

57128468133 is a wasteful number, since it uses less digits than its factorization.

57128468133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2953 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 57128468133 in words is "fifty-seven billion, one hundred twenty-eight million, four hundred sixty-eight thousand, one hundred thirty-three".

Divisors: 1 3 11 29 33 87 319 841 957 1213 1697 2523 3639 5091 9251 13343 18667 27753 35177 40029 49213 56001 105531 147639 386947 541343 1020133 1160841 1427177 1624029 2058461 3060399 4281531 6175383 11221463 15698947 22643071 33664389 47096841 59695369 67929213 179086107 656649059 1731165701 1969947177 5193497103 19042822711 57128468133