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129711624025 = 52720312
BaseRepresentation
bin111100011001101101…
…0100100111101011001
3110101210211022020011011
41320303122210331121
54111122133432100
6135331054133521
712241242420034
oct1706332447531
9411724266134
10129711624025
1150012914a85
12211801b12a1
13c302216869
1463c708001b
15359289dbba
hex1e336a4f59

129711624025 has 9 divisors (see below), whose sum is σ = 160844646783. Its totient is φ = 103767858600.

The previous prime is 129711624023. The next prime is 129711624037. The reversal of 129711624025 is 520426117921.

The square root of 129711624025 is 360155.

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., 46696184649 + 83015439376 = 216093^2 + 288124^2 .

It is not a de Polignac number, because 129711624025 - 21 = 129711624023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129711624023) 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, 1764760 + ... + 1836790.

Almost surely, 2129711624025 is an apocalyptic number.

129711624025 is the 360155-th square number.

129711624025 is the 180078-th centered octagonal number.

It is an amenable number.

129711624025 is a deficient number, since it is larger than the sum of its proper divisors (31133022758).

129711624025 is an frugal number, since it uses more digits than its factorization.

129711624025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144072 (or 72036 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 129711624025 in words is "one hundred twenty-nine billion, seven hundred eleven million, six hundred twenty-four thousand, twenty-five".

Divisors: 1 5 25 72031 360155 1800775 5188464961 25942324805 129711624025