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58157180964 = 2232401932
BaseRepresentation
bin110110001010011100…
…000010100000100100
312120010001222220021100
4312022130002200210
51423101214242324
642414514120100
74126121611311
oct661234024044
9176101886240
1058157180964
1122734237923
12b330880030
13563aa2741c
142b59c31d08
1517a5a8c4c9
hexd8a702824

58157180964 has 27 divisors (see below), whose sum is σ = 147012087313. Its totient is φ = 19385244672.

The previous prime is 58157180947. The next prime is 58157180987. The reversal of 58157180964 is 46908175185.

It is a happy number.

The square root of 58157180964 is 241158.

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

58157180964 is a `hidden beast` number, since 5 + 8 + 1 + 571 + 8 + 0 + 9 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12961822500 + 45195358464 = 113850^2 + 212592^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58157180964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1426852 + ... + 1467044.

Almost surely, 258157180964 is an apocalyptic number.

58157180964 is the 241158-th square number.

It is an amenable number.

58157180964 is an abundant number, since it is smaller than the sum of its proper divisors (88854906349).

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

58157180964 is an frugal number, since it uses more digits than its factorization.

58157180964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80396 (or 40198 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

It can be divided in two parts, 58157 and 180964, that added together give a square (239121 = 4892).

The spelling of 58157180964 in words is "fifty-eight billion, one hundred fifty-seven million, one hundred eighty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 40193 80386 120579 160772 241158 361737 482316 723474 1446948 1615477249 3230954498 4846431747 6461908996 9692863494 14539295241 19385726988 29078590482 58157180964