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5064334605 = 325112930089
BaseRepresentation
bin1001011011101101…
…11001110100001101
3111001221102212001100
410231312321310031
540332432201410
62154310133313
7236333063631
oct45566716415
914057385040
105064334605
112169759600
12b94051239
136292957c5
1436084adc1
151e99138c0
hex12ddb9d0d

5064334605 has 36 divisors (see below), whose sum is σ = 9648753660. Its totient is φ = 2455432320.

The previous prime is 5064334571. The next prime is 5064334657.

5064334605 is a `hidden beast` number, since 5 + 0 + 6 + 43 + 3 + 4 + 605 = 666.

5064334605 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2420935209 + 2643399396 = 49203^2 + 51414^2 .

It is not a de Polignac number, because 5064334605 - 27 = 5064334477 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5064334605.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 459600 + ... + 470489.

It is an arithmetic number, because the mean of its divisors is an integer number (268020935).

Almost surely, 25064334605 is an apocalyptic number.

5064334605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5064334605 is a deficient number, since it is larger than the sum of its proper divisors (4584419055).

5064334605 is a wasteful number, since it uses less digits than its factorization.

5064334605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930122 (or 930108 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5064334605 is about 71164.1384757801. The cubic root of 5064334605 is about 1717.2787559128.

The spelling of 5064334605 in words is "five billion, sixty-four million, three hundred thirty-four thousand, six hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 930089 2790267 4650445 8370801 10230979 13951335 30692937 41854005 51154895 92078811 112540769 153464685 337622307 460394055 562703845 1012866921 1688111535 5064334605