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7135011961 = 7211210972
BaseRepresentation
bin1101010010100011…
…11010010001111001
3200102020210011101021
412221101322101321
5104103030340321
63140000022441
7341545413100
oct65121722171
920366704337
107135011961
11303158a100
121471601a21
13899287a8c
144b9863037
152bb5d7941
hex1a947a479

7135011961 has 27 divisors (see below), whose sum is σ = 9131367567. Its totient is φ = 5554681440.

The previous prime is 7135011941. The next prime is 7135011967. The reversal of 7135011961 is 1691105317.

The square root of 7135011961 is 84469.

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., 2029052025 + 5105959936 = 45045^2 + 71456^2 .

It is not a de Polignac number, because 7135011961 - 25 = 7135011929 is a prime.

It is a super-2 number, since 2×71350119612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7135011967) 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, 6503565 + ... + 6504661.

Almost surely, 27135011961 is an apocalyptic number.

7135011961 is the 84469-th square number.

7135011961 is the 42235-th centered octagonal number.

It is an amenable number.

7135011961 is a deficient number, since it is larger than the sum of its proper divisors (1996355606).

7135011961 is an equidigital number, since it uses as much as digits as its factorization.

7135011961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The cubic root of 7135011961 is about 1925.1514547502.

The spelling of 7135011961 in words is "seven billion, one hundred thirty-five million, eleven thousand, nine hundred sixty-one".

Divisors: 1 7 11 49 77 121 539 847 1097 5929 7679 12067 53753 84469 132737 591283 929159 1203409 6504113 8423863 13237499 58967041 92662493 145612489 648637451 1019287423 7135011961