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4135763307 = 3131946112107
BaseRepresentation
bin1111011010000010…
…1011110101101011
3101200020011112200210
43312200223311223
531432223411212
61522215432203
7204326256654
oct36640536553
911606145623
104135763307
111832592205
12975085663
1350baa7530
142b33b452b
1519314153c
hexf682bd6b

4135763307 has 32 divisors (see below), whose sum is σ = 6265163520. Its totient is φ = 2405704320.

The previous prime is 4135763299. The next prime is 4135763329. The reversal of 4135763307 is 7033675314.

It is a happy number.

It is not a de Polignac number, because 4135763307 - 23 = 4135763299 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4135763407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335548 + ... + 347654.

It is an arithmetic number, because the mean of its divisors is an integer number (195786360).

Almost surely, 24135763307 is an apocalyptic number.

4135763307 is a deficient number, since it is larger than the sum of its proper divisors (2129400213).

4135763307 is a wasteful number, since it uses less digits than its factorization.

4135763307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12603.

The product of its (nonzero) digits is 158760, while the sum is 39.

The square root of 4135763307 is about 64309.9005363871. The cubic root of 4135763307 is about 1605.1608495543.

The spelling of 4135763307 in words is "four billion, one hundred thirty-five million, seven hundred sixty-three thousand, three hundred seven".

Divisors: 1 3 13 19 39 57 247 461 741 1383 5993 8759 12107 17979 26277 36321 113867 157391 230033 341601 472173 690099 2990429 5581327 8971287 16743981 72557251 106045213 217671753 318135639 1378587769 4135763307