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149186745009 = 321287492
BaseRepresentation
bin1000101011110000111…
…0010001001010110001
3112021002002011212202100
42022330032101022301
54421013301320014
6152311353411013
713530662260311
oct2127416211261
9467062155670
10149186745009
11582a7034695
1224ab6409a69
13110b6c382a3
147313775441
153d324da009
hex22bc3912b1

149186745009 has 9 divisors (see below), whose sum is σ = 215493638763. Its totient is φ = 99457057512.

The previous prime is 149186744989. The next prime is 149186745013. The reversal of 149186745009 is 900547681941.

The square root of 149186745009 is 386247.

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

149186745009 is a `hidden beast` number, since 1 + 4 + 9 + 186 + 7 + 450 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10221816609 + 138964928400 = 101103^2 + 372780^2 .

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

It is not a de Polignac number, because 149186745009 - 27 = 149186744881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149186745049) 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, 1094367 + ... + 1223115.

Almost surely, 2149186745009 is an apocalyptic number.

149186745009 is the 386247-th square number.

149186745009 is the 193124-th centered octagonal number.

It is an amenable number.

149186745009 is a deficient number, since it is larger than the sum of its proper divisors (66306893754).

149186745009 is an frugal number, since it uses more digits than its factorization.

149186745009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257504 (or 128752 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 149186745009 in words is "one hundred forty-nine billion, one hundred eighty-six million, seven hundred forty-five thousand, nine".

Divisors: 1 3 9 128749 386247 1158741 16576305001 49728915003 149186745009