Search a number
-
+
76632200001 = 3272173769161
BaseRepresentation
bin100011101011110100…
…0101001001101000001
321022210122000002220200
41013113220221031001
52223420320400001
655112045555413
75352005644500
oct1072750511501
9238718002820
1076632200001
112a5549740a5
1212a27b75b69
1372c34a4456
1439cd790837
151ed79c7086
hex11d7a29341

76632200001 has 18 divisors (see below), whose sum is σ = 128762949042. Its totient is φ = 43789828320.

The previous prime is 76632199979. The next prime is 76632200011. The reversal of 76632200001 is 10000223667.

It is a happy number.

76632200001 is a `hidden beast` number, since 7 + 6 + 632 + 20 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67055620401 + 9576579600 = 258951^2 + 97860^2 .

It is not a de Polignac number, because 76632200001 - 211 = 76632197953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76632200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 86884140 + ... + 86885021.

It is an arithmetic number, because the mean of its divisors is an integer number (7153497169).

Almost surely, 276632200001 is an apocalyptic number.

It is an amenable number.

76632200001 is a deficient number, since it is larger than the sum of its proper divisors (52130749041).

76632200001 is a wasteful number, since it uses less digits than its factorization.

76632200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173769181 (or 173769171 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 76632200001 its reverse (10000223667), we get a palindrome (86632423668).

The spelling of 76632200001 in words is "seventy-six billion, six hundred thirty-two million, two hundred thousand, one".

Divisors: 1 3 7 9 21 49 63 147 441 173769161 521307483 1216384127 1563922449 3649152381 8514688889 10947457143 25544066667 76632200001