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1186716103225 = 52192114672
BaseRepresentation
bin10001010001001101110…
…010101011001000111001
311012110010021201020100121
4101101031302223020321
5123420343310300400
62305100404333241
7151510634305012
oct21211562531071
94173107636317
101186716103225
11418313336904
12171bb09a4221
1387ba3465a63
144161a1bc009
1520d088ab21a
hex1144dcab239

1186716103225 has 27 divisors (see below), whose sum is σ = 1553188511727. Its totient is φ = 899327454480.

The previous prime is 1186716103219. The next prime is 1186716103229. The reversal of 1186716103225 is 5223016176811.

The square root of 1186716103225 is 1089365.

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., 427217797161 + 759498306064 = 653619^2 + 871492^2 .

It is not a de Polignac number, because 1186716103225 - 215 = 1186716070457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1186716103229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103483942 + ... + 103495408.

Almost surely, 21186716103225 is an apocalyptic number.

1186716103225 is the 1089365-th square number.

1186716103225 is the 544683-rd centered octagonal number.

It is an amenable number.

1186716103225 is a deficient number, since it is larger than the sum of its proper divisors (366472408502).

1186716103225 is an frugal number, since it uses more digits than its factorization.

1186716103225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22982 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 1186716103225 in words is "one trillion, one hundred eighty-six billion, seven hundred sixteen million, one hundred three thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 9025 11467 57335 217873 286675 1089365 4139587 5446825 20697935 103489675 131492089 657460445 2498349691 3287302225 12491748455 47468644129 62458742275 237343220645 1186716103225