Search a number
-
+
57130074377 = 293449434261
BaseRepresentation
bin110101001101001101…
…111100000100001001
312110110111022110220122
4311031031330010021
51414000244340002
642124543433025
74061510422415
oct651515740411
9173414273818
1057130074377
112225748a502
12b0a48b5775
135505cb924c
142a9d669d45
1517458046a2
hexd4d37c109

57130074377 has 8 divisors (see below), whose sum is σ = 57452862600. Its totient is φ = 56808156160.

The previous prime is 57130074317. The next prime is 57130074389. The reversal of 57130074377 is 77347003175.

It can be written as a sum of positive squares in 4 ways, for example, as 30798846016 + 26331228361 = 175496^2 + 162269^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57130074377 - 234 = 39950205193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57130074317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85574 + ... + 348687.

It is an arithmetic number, because the mean of its divisors is an integer number (7181607825).

Almost surely, 257130074377 is an apocalyptic number.

It is an amenable number.

57130074377 is a deficient number, since it is larger than the sum of its proper divisors (322788223).

57130074377 is a wasteful number, since it uses less digits than its factorization.

57130074377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435003.

The product of its (nonzero) digits is 432180, while the sum is 44.

The spelling of 57130074377 in words is "fifty-seven billion, one hundred thirty million, seventy-four thousand, three hundred seventy-seven".

Divisors: 1 293 449 131557 434261 127238473 194983189 57130074377