Search a number
-
+
66051145324233 = 3261731648106029
BaseRepresentation
bin11110000010010101110110…
…00011011101011011001001
322122212102112212212201222100
433001022323003131123021
532124140221200333413
6352251251031144013
716625015645510226
oct1701127303353311
9278772485781870
1066051145324233
111a056151649663
1274a91a2b15009
132ab179a03aa44
141244c6cdd294d
1579821dc1aa73
hex3c12bb0dd6c9

66051145324233 has 24 divisors (see below), whose sum is σ = 98299636053320. Its totient is φ = 42718908245760.

The previous prime is 66051145324217. The next prime is 66051145324253. The reversal of 66051145324233 is 33242354115066.

66051145324233 is a `hidden beast` number, since 6 + 6 + 0 + 51 + 1 + 45 + 324 + 233 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9606757673529 + 56444387650704 = 3099477^2 + 7512948^2 .

It is not a de Polignac number, because 66051145324233 - 24 = 66051145324217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66051145324253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824012938 + ... + 824093091.

Almost surely, 266051145324233 is an apocalyptic number.

It is an amenable number.

66051145324233 is a deficient number, since it is larger than the sum of its proper divisors (32248490729087).

66051145324233 is a wasteful number, since it uses less digits than its factorization.

66051145324233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648106169 (or 1648106166 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 66051145324233 its reverse (33242354115066), we get a palindrome (99293499439299).

The spelling of 66051145324233 in words is "sixty-six trillion, fifty-one billion, one hundred forty-five million, three hundred twenty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 61 73 183 219 549 657 4453 13359 40077 1648106029 4944318087 14832954261 100534467769 120311740117 301603403307 360935220351 904810209921 1082805661053 7339016147137 22017048441411 66051145324233