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139052172609 = 367219732
BaseRepresentation
bin1000000110000000100…
…1111100010101000001
3111021220210012021000000
42001200021330111001
54234234324010414
6143514002350213
713021561652100
oct2014011742501
9437823167000
10139052172609
1153a76365419
1222b4835b369
13101603c109c
146a317c2037
15393c8e8b09
hex206027c541

139052172609 has 63 divisors (see below), whose sum is σ = 242643891603. Its totient is φ = 79418111472.

The previous prime is 139052172607. The next prime is 139052172629. The reversal of 139052172609 is 906271250931.

It is a happy number.

The square root of 139052172609 is 372897.

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

139052172609 is a `hidden beast` number, since 1 + 39 + 0 + 5 + 2 + 1 + 7 + 2 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29906514225 + 109145658384 = 172935^2 + 330372^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 139052172609 - 21 = 139052172607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (139052172607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 70476547 + ... + 70478519.

Almost surely, 2139052172609 is an apocalyptic number.

139052172609 is the 372897-th square number.

139052172609 is the 186449-th centered octagonal number.

It is an amenable number.

139052172609 is a deficient number, since it is larger than the sum of its proper divisors (103591718994).

139052172609 is an frugal number, since it uses more digits than its factorization.

139052172609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 139052172609 in words is "one hundred thirty-nine billion, fifty-two million, one hundred seventy-two thousand, six hundred nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 1973 3969 5103 5919 11907 13811 17757 35721 41433 53271 96677 124299 159813 290031 372897 479439 870093 1118691 1438317 2610279 3356073 3892729 7830837 10068219 11678187 23492511 27249103 35034561 70477533 81747309 105103683 190743721 245241927 315311049 572231163 735725781 945933147 1716693489 2207177343 2837799441 5150080467 6621532029 15450241401 19864596087 46350724203 139052172609