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3135634385 = 51310124729
BaseRepresentation
bin1011101011100101…
…1111101111010001
322002112020201201212
42322321133233101
522410210300020
61235051305505
7140463311132
oct27271375721
98075221655
103135634385
111369a90584
1273614b295
133ac823780
1421a631c89
15135436cc5
hexbae5fbd1

3135634385 has 24 divisors (see below), whose sum is σ = 4093587960. Its totient is φ = 2292134400.

The previous prime is 3135634379. The next prime is 3135634399. The reversal of 3135634385 is 5834365313.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 461089729 + 2674544656 = 21473^2 + 51716^2 .

It is not a de Polignac number, because 3135634385 - 220 = 3134585809 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660701 + ... + 665429.

It is an arithmetic number, because the mean of its divisors is an integer number (170566165).

Almost surely, 23135634385 is an apocalyptic number.

It is an amenable number.

3135634385 is a deficient number, since it is larger than the sum of its proper divisors (957953575).

3135634385 is a wasteful number, since it uses less digits than its factorization.

3135634385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4848 counting only the distinct ones).

The product of its digits is 388800, while the sum is 41.

The square root of 3135634385 is about 55996.7354852048. The cubic root of 3135634385 is about 1463.6653984202.

Adding to 3135634385 its reverse (5834365313), we get a palindrome (8969999698).

The spelling of 3135634385 in words is "three billion, one hundred thirty-five million, six hundred thirty-four thousand, three hundred eighty-five".

Divisors: 1 5 13 65 101 505 1313 4729 6565 10201 23645 51005 61477 132613 307385 477629 663065 2388145 6209177 31045885 48240529 241202645 627126877 3135634385