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35149125361 = 72267832
BaseRepresentation
bin100000101111000011…
…010001011011110001
310100201121021120110211
4200233003101123301
51033441134002421
624051451424121
72353012431100
oct405703213361
9110647246424
1035149125361
11139a7846139
12698b455041
1334120a773c
1419b6248037
15daabda9e1
hex82f0d16f1

35149125361 has 9 divisors (see below), whose sum is σ = 40889284761. Its totient is φ = 30126696852.

The previous prime is 35149125311. The next prime is 35149125433. The reversal of 35149125361 is 16352194153.

It is a happy number.

The square root of 35149125361 is 187481.

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

It is not a de Polignac number, because 35149125361 - 27 = 35149125233 is a prime.

It is a super-2 number, since 2×351491253612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35149125311) 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, 1298976 + ... + 1325758.

Almost surely, 235149125361 is an apocalyptic number.

35149125361 is the 187481-st square number.

35149125361 is the 93741-st centered octagonal number.

It is an amenable number.

35149125361 is a deficient number, since it is larger than the sum of its proper divisors (5740159400).

35149125361 is an frugal number, since it uses more digits than its factorization.

35149125361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53580 (or 26790 counting only the distinct ones).

The product of its digits is 97200, while the sum is 40.

The spelling of 35149125361 in words is "thirty-five billion, one hundred forty-nine million, one hundred twenty-five thousand, three hundred sixty-one".

Divisors: 1 7 49 26783 187481 1312367 717329089 5021303623 35149125361