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129415026049 = 232156412
BaseRepresentation
bin111100010000110111…
…1001001010110000001
3110101001011012111012221
41320201233021112001
54110020221313144
6135241421051041
712231011366641
oct1704157112601
9411034174187
10129415026049
114a980454591
12210b89b6a81
13c28593a3ba
146399914521
153576812d84
hex1e21bc9581

129415026049 has 9 divisors (see below), whose sum is σ = 135295057219. Its totient is φ = 123780371440.

The previous prime is 129415026043. The next prime is 129415026061. The reversal of 129415026049 is 940620514921.

The square root of 129415026049 is 359743.

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

It can be written as a sum of positive squares in only one way, i.e., 128886026049 + 529000000 = 359007^2 + 23000^2 .

It is not a de Polignac number, because 129415026049 - 223 = 129406637441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129415025996 and 129415026014.

It is not an unprimeable number, because it can be changed into a prime (129415026043) 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, 8266269 + ... + 8281909.

Almost surely, 2129415026049 is an apocalyptic number.

129415026049 is the 359743-rd square number.

129415026049 is the 179872-nd centered octagonal number.

It is an amenable number.

129415026049 is a deficient number, since it is larger than the sum of its proper divisors (5880031170).

129415026049 is an frugal number, since it uses more digits than its factorization.

129415026049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31328 (or 15664 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 129415026049 in words is "one hundred twenty-nine billion, four hundred fifteen million, twenty-six thousand, forty-nine".

Divisors: 1 23 529 15641 359743 8274089 244640881 5626740263 129415026049