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3137813829 = 33116215327
BaseRepresentation
bin1011101100000111…
…0011110101000101
322002200100110101000
42323001303311011
522411240020304
61235210123513
7140520656163
oct27301636505
98080313330
103137813829
111370239a77
12736a20599
133b0107797
1421aa3c233
15135717939
hexbb073d45

3137813829 has 8 divisors (see below), whose sum is σ = 4648613120. Its totient is φ = 2091875868.

The previous prime is 3137813827. The next prime is 3137813849. The reversal of 3137813829 is 9283187313.

It is a happy number.

It is not a de Polignac number, because 3137813829 - 21 = 3137813827 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137813827) 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 7 ways as a sum of consecutive naturals, for example, 58107637 + ... + 58107690.

It is an arithmetic number, because the mean of its divisors is an integer number (581076640).

Almost surely, 23137813829 is an apocalyptic number.

It is an amenable number.

3137813829 is a deficient number, since it is larger than the sum of its proper divisors (1510799291).

3137813829 is a wasteful number, since it uses less digits than its factorization.

3137813829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116215336 (or 116215330 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 3137813829 is about 56016.1925607230. The cubic root of 3137813829 is about 1464.0044300793.

The spelling of 3137813829 in words is "three billion, one hundred thirty-seven million, eight hundred thirteen thousand, eight hundred twenty-nine".

Divisors: 1 3 9 27 116215327 348645981 1045937943 3137813829