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114501665525 = 5213352312817
BaseRepresentation
bin110101010100011010…
…1001100001011110101
3101221112211002021112212
41222220311030023311
53333444411244100
6124333520023205
711162313045512
oct1525065141365
9357484067485
10114501665525
1144618229045
121a236461b05
13aa4a037810
145783004309
152ea2414635
hex1aa8d4c2f5

114501665525 has 12 divisors (see below), whose sum is σ = 152903763012. Its totient is φ = 84555075840.

The previous prime is 114501665521. The next prime is 114501665527. The reversal of 114501665525 is 525566105411.

It can be written as a sum of positive squares in 6 ways, for example, as 34545054769 + 79956610756 = 185863^2 + 282766^2 .

It is not a de Polignac number, because 114501665525 - 22 = 114501665521 is a prime.

It is a super-3 number, since 3×1145016655253 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114501665521) 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 11 ways as a sum of consecutive naturals, for example, 176156084 + ... + 176156733.

It is an arithmetic number, because the mean of its divisors is an integer number (12741980251).

Almost surely, 2114501665525 is an apocalyptic number.

It is an amenable number.

114501665525 is a deficient number, since it is larger than the sum of its proper divisors (38402097487).

114501665525 is a wasteful number, since it uses less digits than its factorization.

114501665525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352312840 (or 352312835 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 41.

The spelling of 114501665525 in words is "one hundred fourteen billion, five hundred one million, six hundred sixty-five thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 325 352312817 1761564085 4580066621 8807820425 22900333105 114501665525