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114776345133 = 3212752927237
BaseRepresentation
bin110101011100100110…
…1000000101000101101
3101222020221221110010200
41222321031000220231
53340030221021013
6124421051224113
711202156556632
oct1527115005055
9358227843120
10114776345133
114474928898a
121a2b2448039
13aa91c0b628
1457ab6a6189
152ebb5c0e73
hex1ab9340a2d

114776345133 has 6 divisors (see below), whose sum is σ = 165788054094. Its totient is φ = 76517563416.

The previous prime is 114776345071. The next prime is 114776345137. The reversal of 114776345133 is 331543677411.

114776345133 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 7 + 634 + 5 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76758364809 + 38017980324 = 277053^2 + 194982^2 .

It is not a de Polignac number, because 114776345133 - 26 = 114776345069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114776345137) 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 5 ways as a sum of consecutive naturals, for example, 6376463610 + ... + 6376463627.

It is an arithmetic number, because the mean of its divisors is an integer number (27631342349).

Almost surely, 2114776345133 is an apocalyptic number.

It is an amenable number.

114776345133 is a deficient number, since it is larger than the sum of its proper divisors (51011708961).

114776345133 is a wasteful number, since it uses less digits than its factorization.

114776345133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12752927243 (or 12752927240 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 114776345133 in words is "one hundred fourteen billion, seven hundred seventy-six million, three hundred forty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 12752927237 38258781711 114776345133