Search a number
-
+
5163356135 = 572231795119
BaseRepresentation
bin1001100111100001…
…01000111111100111
3111022211202200001102
410303300220333213
541033304344020
62212204350315
7241644542300
oct46360507747
914284680042
105163356135
11220a641983
12100124539b
13643955b22
1436da657a7
15203473475
hex133c28fe7

5163356135 has 48 divisors (see below), whose sum is σ = 7564492800. Its totient is φ = 3367070784.

The previous prime is 5163356131. The next prime is 5163356137. The reversal of 5163356135 is 5316533615.

It is a happy number.

5163356135 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5163356135 - 22 = 5163356131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5163356131) 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 47 ways as a sum of consecutive naturals, for example, 1006106 + ... + 1011224.

It is an arithmetic number, because the mean of its divisors is an integer number (157593600).

Almost surely, 25163356135 is an apocalyptic number.

5163356135 is a deficient number, since it is larger than the sum of its proper divisors (2401136665).

5163356135 is a wasteful number, since it uses less digits than its factorization.

5163356135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340 (or 5333 counting only the distinct ones).

The product of its digits is 121500, while the sum is 38.

The square root of 5163356135 is about 71856.4968183114. The cubic root of 5163356135 is about 1728.3990819887.

The spelling of 5163356135 in words is "five billion, one hundred sixty-three million, three hundred fifty-six thousand, one hundred thirty-five".

Divisors: 1 5 7 23 35 49 115 161 179 245 805 895 1127 1253 4117 5119 5635 6265 8771 20585 25595 28819 35833 43855 117737 144095 179165 201733 250831 588685 824159 916301 1008665 1254155 4120795 4581505 5769113 6414107 21074923 28845565 32070535 44898749 105374615 147524461 224493745 737622305 1032671227 5163356135