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58157663281 = 34926912
BaseRepresentation
bin110110001010011101…
…111000010000110001
312120010002220101212221
4312022131320100301
51423101330211111
642414532321041
74126125660424
oct661235702061
9176102811787
1058157663281
1122734537233
12b330a73181
13563ab65b13
142b59d199bb
1517a5b35371
hexd8a778431

58157663281 has 9 divisors (see below), whose sum is σ = 58409310123. Its totient is φ = 57907099080.

The previous prime is 58157663279. The next prime is 58157663309. The reversal of 58157663281 is 18236675185.

The square root of 58157663281 is 241159.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42687278881 + 15470384400 = 206609^2 + 124380^2 .

It is not a de Polignac number, because 58157663281 - 21 = 58157663279 is a prime.

It is a super-2 number, since 2×581576632812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58157663381) 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 8 ways as a sum of consecutive naturals, for example, 84164146 + ... + 84164836.

It is an arithmetic number, because the mean of its divisors is an integer number (6489923347).

Almost surely, 258157663281 is an apocalyptic number.

58157663281 is the 241159-th square number.

58157663281 is the 120580-th centered octagonal number.

It is an amenable number.

58157663281 is a deficient number, since it is larger than the sum of its proper divisors (251646842).

58157663281 is an frugal number, since it uses more digits than its factorization.

58157663281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 1040 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 52.

The spelling of 58157663281 in words is "fifty-eight billion, one hundred fifty-seven million, six hundred sixty-three thousand, two hundred eighty-one".

Divisors: 1 349 691 121801 241159 477481 84164491 166640869 58157663281