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131433076369 = 726727732
BaseRepresentation
bin111101001101000000…
…1011001011010010001
3110120020210112001211101
41322122001121122101
54123133331420434
6140213550544401
712332014500400
oct1723201313221
9416223461741
10131433076369
11508165aa671
1221580808101
13c517a6460a
14650b94b637
153643a8db14
hex1e9a059691

131433076369 has 27 divisors (see below), whose sum is σ = 155408605947. Its totient is φ = 110831911344.

The previous prime is 131433076331. The next prime is 131433076427. The reversal of 131433076369 is 963670334131.

The square root of 131433076369 is 362537.

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., 8364017025 + 123069059344 = 91455^2 + 350812^2 .

It is not a de Polignac number, because 131433076369 - 27 = 131433076241 is a prime.

It is a super-2 number, since 2×1314330763692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131433079369) 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 26 ways as a sum of consecutive naturals, for example, 170029467 + ... + 170030239.

Almost surely, 2131433076369 is an apocalyptic number.

131433076369 is the 362537-th square number.

131433076369 is the 181269-th centered octagonal number.

It is an amenable number.

131433076369 is a deficient number, since it is larger than the sum of its proper divisors (23975529578).

131433076369 is an frugal number, since it uses more digits than its factorization.

131433076369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 46.

The spelling of 131433076369 in words is "one hundred thirty-one billion, four hundred thirty-three million, seventy-six thousand, three hundred sixty-nine".

Divisors: 1 7 49 67 469 773 3283 4489 5411 31423 37877 51791 219961 362537 597529 2537759 3469997 4182703 24289979 29278921 40034443 170029853 280241101 1961687707 2682307681 18776153767 131433076369