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118764856489041 = 36722341092
BaseRepresentation
bin11011000000010000011001…
…000101010011010001010001
3120120111210212001100121000000
4123000100121011103101101
5111031320411230122131
61100331453304520213
734005322600442400
oct3300203105232121
9516453761317000
10118764856489041
1134929990327194
12113a1512180069
135136629c81b89
14214836d35d637
15dae52e4dcce6
hex6c0419153451

118764856489041 has 315 divisors, whose sum is σ = 218558072746251. Its totient is φ = 64319402591136.

The previous prime is 118764856489031. The next prime is 118764856489049. The reversal of 118764856489041 is 140984658467811.

The square root of 118764856489041 is 10897929.

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

118764856489041 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 6 + 485 + 64 + 89 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82778535189441 + 35986321299600 = 9098271^2 + 5998860^2 .

It is not a de Polignac number, because 118764856489041 - 25 = 118764856489009 is a prime.

It is a super-2 number, since 2×1187648564890412 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (118764856489049) 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 314 ways as a sum of consecutive naturals, for example, 1089585839295 + ... + 1089585839403.

Almost surely, 2118764856489041 is an apocalyptic number.

118764856489041 is the 10897929-th square number.

118764856489041 is the 5448965-th centered octagonal number.

It is an amenable number.

118764856489041 is a deficient number, since it is larger than the sum of its proper divisors (99793216257210).

118764856489041 is an frugal number, since it uses more digits than its factorization.

118764856489041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 118764856489041 in words is "one hundred eighteen trillion, seven hundred sixty-four billion, eight hundred fifty-six million, four hundred eighty-nine thousand, forty-one".