Search a number
-
+
332086806405 = 32541877205237
BaseRepresentation
bin1001101010100011110…
…10101000011110000101
31011202011200220200100100
410311101322220132011
520420103210301110
6412320352434313
732664264165024
oct4652172503605
91152150820310
10332086806405
11118923387922
125443b248999
13254146424a3
14121047a08bb
1589895e5bc0
hex4d51ea8785

332086806405 has 48 divisors (see below), whose sum is σ = 590331806064. Its totient is φ = 172595266560.

The previous prime is 332086806383. The next prime is 332086806439. The reversal of 332086806405 is 504608680233.

It is a happy number.

332086806405 is a `hidden beast` number, since 33 + 208 + 6 + 8 + 0 + 6 + 405 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17453316321 + 314633490084 = 132111^2 + 560922^2 .

It is not a de Polignac number, because 332086806405 - 27 = 332086806277 is a prime.

It is a super-2 number, since 2×3320868064052 (a number of 24 digits) contains 22 as substring.

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

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 1515447 + ... + 1720683.

It is an arithmetic number, because the mean of its divisors is an integer number (12298579293).

Almost surely, 2332086806405 is an apocalyptic number.

It is an amenable number.

332086806405 is a deficient number, since it is larger than the sum of its proper divisors (258244999659).

332086806405 is a wasteful number, since it uses less digits than its factorization.

332086806405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206166 (or 206163 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 332086806405 in words is "three hundred thirty-two billion, eighty-six million, eight hundred six thousand, four hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 877 1845 2631 4385 7893 13155 35957 39465 107871 179785 205237 323613 539355 615711 1026185 1618065 1847133 3078555 8414717 9235665 25244151 42073585 75732453 126220755 179992849 378662265 539978547 899964245 1619935641 2699892735 7379706809 8099678205 22139120427 36898534045 66417361281 110695602135 332086806405