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130794339025 = 5272103332
BaseRepresentation
bin111100111001111110…
…0110011101011010001
3110111121021121211220201
41321303330303223101
54120331322322100
6140030332335201
712310130352400
oct1716374635321
9414537554821
10130794339025
1150518aa3869
1221422914501
13c445624b1c
14648ab9d637
15360796d36a
hex1e73f33ad1

130794339025 has 27 divisors (see below), whose sum is σ = 188682421041. Its totient is φ = 89678867040.

The previous prime is 130794338957. The next prime is 130794339029. The reversal of 130794339025 is 520933497031.

The square root of 130794339025 is 361655.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1459163601 + 129335175424 = 38199^2 + 359632^2 .

It is not a de Polignac number, because 130794339025 - 29 = 130794338513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130794339029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12652759 + ... + 12663091.

Almost surely, 2130794339025 is an apocalyptic number.

130794339025 is the 361655-th square number.

130794339025 is the 180828-th centered octagonal number.

It is an amenable number.

130794339025 is a deficient number, since it is larger than the sum of its proper divisors (57888082016).

130794339025 is an frugal number, since it uses more digits than its factorization.

130794339025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20690 (or 10345 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 130794339025 in words is "one hundred thirty billion, seven hundred ninety-four million, three hundred thirty-nine thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 10333 51665 72331 258325 361655 506317 1808275 2531585 12657925 106770889 533854445 747396223 2669272225 3736981115 5231773561 18684905575 26158867805 130794339025