Search a number
-
+
136917020529 = 321233412
BaseRepresentation
bin111111110000011100…
…0111110111101110001
3111002101222112021222100
41333200320332331301
54220401224124104
6142522050531013
712614634320652
oct1774070767561
9432358467870
10136917020529
11530800a8023
1222651296a69
13cbacc461a3
1468abdc5529
15386523b139
hex1fe0e3ef71

136917020529 has 9 divisors (see below), whose sum is σ = 197770633099. Its totient is φ = 91277273640.

The previous prime is 136917020509. The next prime is 136917020543. The reversal of 136917020529 is 925020719631.

It is a happy number.

The square root of 136917020529 is 370023.

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

136917020529 is a `hidden beast` number, since 1 + 36 + 9 + 1 + 70 + 20 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133208210529 + 3708810000 = 364977^2 + 60900^2 .

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

It is not a de Polignac number, because 136917020529 - 29 = 136917020017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136917020509) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1048399 + ... + 1171739.

Almost surely, 2136917020529 is an apocalyptic number.

136917020529 is the 370023-rd square number.

136917020529 is the 185012-nd centered octagonal number.

It is an amenable number.

136917020529 is a deficient number, since it is larger than the sum of its proper divisors (60853612570).

136917020529 is an frugal number, since it uses more digits than its factorization.

136917020529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246688 (or 123344 counting only the distinct ones).

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

The spelling of 136917020529 in words is "one hundred thirty-six billion, nine hundred seventeen million, twenty thousand, five hundred twenty-nine".

Divisors: 1 3 9 123341 370023 1110069 15213002281 45639006843 136917020529