Search a number
-
+
65034180324 = 223219222372
BaseRepresentation
bin111100100100010101…
…101101011011100100
320012212100021122220100
4330210111231123210
52031142222232244
645513140104100
74461415261161
oct744425553344
9205770248810
1065034180324
1125643110273
121072b995030
1361956c5709
14320d2d1068
151a596abb69
hexf2456d6e4

65034180324 has 81 divisors (see below), whose sum is σ = 173577137097. Its totient is φ = 20527928928.

The previous prime is 65034180319. The next prime is 65034180329. The reversal of 65034180324 is 42308143056.

The square root of 65034180324 is 255018.

It is a perfect power (a square), and thus also a powerful number.

65034180324 is a `hidden beast` number, since 6 + 503 + 41 + 80 + 32 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (65034180319) and next prime (65034180329).

It can be written as a sum of positive squares in only one way, i.e., 51724404900 + 13309775424 = 227430^2 + 115368^2 .

It is a super-2 number, since 2×650341803242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (65034180329) 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 26 ways as a sum of consecutive naturals, for example, 29070934 + ... + 29073170.

Almost surely, 265034180324 is an apocalyptic number.

65034180324 is the 255018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65034180324

65034180324 is an abundant number, since it is smaller than the sum of its proper divisors (108542956773).

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

65034180324 is a wasteful number, since it uses less digits than its factorization.

65034180324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 65034180324 by its sum of digits (36), we get a square (2341230491664 = 15301082).

65034180324 divided by its sum of digits (36) gives a square (1806505009 = 425032).

The spelling of 65034180324 in words is "sixty-five billion, thirty-four million, one hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 2237 3249 4332 4474 6498 6711 8948 12996 13422 20133 26844 40266 42503 80532 85006 127509 170012 255018 382527 510036 765054 807557 1530108 1615114 2422671 3230228 4845342 5004169 7268013 9690684 10008338 14536026 15012507 20016676 29072052 30025014 45037521 60050028 90075042 95079211 180150084 190158422 285237633 380316844 570475266 855712899 1140950532 1711425798 1806505009 3422851596 3613010018 5419515027 7226020036 10839030054 16258545081 21678060108 32517090162 65034180324