Search a number
-
+
5359034835 = 3257111981401
BaseRepresentation
bin1001111110110110…
…00110000111010011
3111211110222011202200
410333123012013103
541433403103320
62243434414243
7246542021160
oct47733060723
914743864680
105359034835
112300043210
121056891383
1367535923b
1438ba41067
15215727290
hex13f6c61d3

5359034835 has 96 divisors (see below), whose sum is σ = 12190763520. Its totient is φ = 2109888000.

The previous prime is 5359034803. The next prime is 5359034867. The reversal of 5359034835 is 5384309535.

It is a happy number.

5359034835 is a `hidden beast` number, since 53 + 590 + 3 + 4 + 8 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5359034803) and next prime (5359034867).

It is not a de Polignac number, because 5359034835 - 25 = 5359034803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25135 + ... + 106535.

It is an arithmetic number, because the mean of its divisors is an integer number (126987120).

Almost surely, 25359034835 is an apocalyptic number.

5359034835 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5359034835 is an abundant number, since it is smaller than the sum of its proper divisors (6831728685).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5359034835 is a wasteful number, since it uses less digits than its factorization.

5359034835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81449 (or 81446 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5359034835 is about 73205.4289994943. The cubic root of 5359034835 is about 1749.9629744547.

The spelling of 5359034835 in words is "five billion, three hundred fifty-nine million, thirty-four thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 19 21 33 35 45 55 57 63 77 95 99 105 133 165 171 209 231 285 315 385 399 495 627 665 693 855 1045 1155 1197 1463 1881 1995 3135 3465 4389 5985 7315 9405 13167 21945 65835 81401 244203 407005 569807 732609 895411 1221015 1546619 1709421 2686233 2849035 3663045 4477055 4639857 5128263 6267877 7733095 8058699 8547105 10826333 13431165 13919571 17012809 18803631 23199285 25641315 31339385 32478999 40293495 51038427 54131665 56410893 69597855 85064045 94018155 97436997 119089663 153115281 162394995 255192135 282054465 357268989 487184985 595448315 765576405 1071806967 1786344945 5359034835