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114762320505 = 3357121441609
BaseRepresentation
bin110101011100001011…
…1100000101001111001
3101222012222112220222000
41222320113200221321
53340013123224010
6124415430451213
711201626425540
oct1527027405171
9358188486860
10114762320505
1144741379a88
121a2a9803b09
13aa8c03ac31
1457a9895157
152eba2507c0
hex1ab85e0a79

114762320505 has 32 divisors (see below), whose sum is σ = 233167891200. Its totient is φ = 52462774656.

The previous prime is 114762320503. The next prime is 114762320531. The reversal of 114762320505 is 505023267411.

114762320505 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 623 + 20 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 114762320505 - 21 = 114762320503 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114762320505.

It is not an unprimeable number, because it can be changed into a prime (114762320503) 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 31 ways as a sum of consecutive naturals, for example, 60719860 + ... + 60721749.

It is an arithmetic number, because the mean of its divisors is an integer number (7286496600).

Almost surely, 2114762320505 is an apocalyptic number.

114762320505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114762320505 is an abundant number, since it is smaller than the sum of its proper divisors (118405570695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114762320505 is a wasteful number, since it uses less digits than its factorization.

114762320505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121441630 (or 121441624 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 114762320505 its reverse (505023267411), we get a palindrome (619785587916).

The spelling of 114762320505 in words is "one hundred fourteen billion, seven hundred sixty-two million, three hundred twenty thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 121441609 364324827 607208045 850091263 1092974481 1821624135 2550273789 3278923443 4250456315 5464872405 7650821367 12751368945 16394617215 22952464101 38254106835 114762320505