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186145487008 = 25133131429601
BaseRepresentation
bin1010110101011100100…
…0101011100010100000
3122210110210120111120121
42231113020223202200
511022211221041013
6221303011450024
716306600350565
oct2552710534240
9583423514517
10186145487008
1171a42302568
12300ab8b6914
1314726bbbcb0
14901c07a86c
154c96ecd58d
hex2b5722b8a0

186145487008 has 48 divisors (see below), whose sum is σ = 395925414696. Its totient is φ = 85638758400.

The previous prime is 186145486997. The next prime is 186145487009. The reversal of 186145487008 is 800784541681.

It can be written as a sum of positive squares in 4 ways, for example, as 77780747664 + 108364739344 = 278892^2 + 329188^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (186145487009) 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 7 ways as a sum of consecutive naturals, for example, 584593 + ... + 845008.

Almost surely, 2186145487008 is an apocalyptic number.

It is an amenable number.

186145487008 is an abundant number, since it is smaller than the sum of its proper divisors (209779927688).

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

186145487008 is a wasteful number, since it uses less digits than its factorization.

186145487008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429937 (or 1429929 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 186145487008 in words is "one hundred eighty-six billion, one hundred forty-five million, four hundred eighty-seven thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 313 416 626 1252 2504 4069 5008 8138 10016 16276 32552 65104 130208 1429601 2859202 5718404 11436808 18584813 22873616 37169626 45747232 74339252 148678504 297357008 447465113 594714016 894930226 1789860452 3579720904 5817046469 7159441808 11634092938 14318883616 23268185876 46536371752 93072743504 186145487008