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114967786761 = 321130232
BaseRepresentation
bin110101100010010011…
…1010011010100001001
3101222202022011200200100
41223010213103110021
53340423223134021
6124452050400013
711210003030532
oct1530447232411
9358668150610
10114967786761
1144837355903
121a346590009
13aac278a2b9
1457c8c9b689
152ecd2d9626
hex1ac49d3509

114967786761 has 9 divisors (see below), whose sum is σ = 166066050189. Its totient is φ = 76644513036.

The previous prime is 114967786751. The next prime is 114967786811. The reversal of 114967786761 is 167687769411.

The square root of 114967786761 is 339069.

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

114967786761 is a `hidden beast` number, since 1 + 1 + 496 + 7 + 7 + 86 + 7 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 114967786761 - 233 = 106377852169 is a prime.

It is a super-2 number, since 2×1149677867612 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114967786751) 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, 960696 + ... + 1073718.

Almost surely, 2114967786761 is an apocalyptic number.

114967786761 is the 339069-th square number.

114967786761 is the 169535-th centered octagonal number.

It is an amenable number.

114967786761 is a deficient number, since it is larger than the sum of its proper divisors (51098263428).

114967786761 is an frugal number, since it uses more digits than its factorization.

114967786761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226052 (or 113026 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The spelling of 114967786761 in words is "one hundred fourteen billion, nine hundred sixty-seven million, seven hundred eighty-six thousand, seven hundred sixty-one".

Divisors: 1 3 9 113023 339069 1017207 12774198529 38322595587 114967786761