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118091189118529 = 112137272112
BaseRepresentation
bin11010110110011100111111…
…011000001110011001000001
3120111010102000000100101001201
4122312130333120032121001
5110434301223403243104
61055054202055101201
733605543516330404
oct3266347730163101
9514112000311051
10118091189118529
113469a212698900
12112b2a44371801
1350b7c4a16c203
1421239033b7d3b
15d9bc520e10a4
hex6b673f60e641

118091189118529 has 27 divisors (see below), whose sum is σ = 130775228379523. Its totient is φ = 106557229671200.

The previous prime is 118091189118523. The next prime is 118091189118547. The reversal of 118091189118529 is 925811981190811.

The square root of 118091189118529 is 10866977.

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., 69367326977025 + 48723862141504 = 8328705^2 + 6980248^2 .

It is not a de Polignac number, because 118091189118529 - 225 = 118091155564097 is a prime.

It is a super-2 number, since 2×1180911891185292 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118091189118523) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16376530734 + ... + 16376537944.

Almost surely, 2118091189118529 is an apocalyptic number.

118091189118529 is the 10866977-th square number.

118091189118529 is the 5433489-th centered octagonal number.

It is an amenable number.

118091189118529 is a deficient number, since it is larger than the sum of its proper divisors (12684039260994).

118091189118529 is an frugal number, since it uses more digits than its factorization.

118091189118529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14718 (or 7359 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 64.

The spelling of 118091189118529 in words is "one hundred eighteen trillion, ninety-one billion, one hundred eighty-nine million, one hundred eighteen thousand, five hundred twenty-nine".

Divisors: 1 11 121 137 1507 7211 16577 18769 79321 206459 872531 987907 2271049 10866977 51998521 119536747 135343259 571983731 1488775849 6291821041 7123797377 16376534339 78361771147 861979482617 975960240649 10735562647139 118091189118529