Search a number
-
+
766540262153 is a prime number
BaseRepresentation
bin10110010011110010101…
…11000010101100001001
32201021120111201221111202
423021321113002230021
5100024333301342103
61344051014033545
7106244403502631
oct13117127025411
92637514657452
10766540262153
112760a6aa3496
121046889488b5
1357390ba3c23
142915a63d6c1
1514e15ab0988
hexb2795c2b09

766540262153 has 2 divisors, whose sum is σ = 766540262154. Its totient is φ = 766540262152.

The previous prime is 766540262119. The next prime is 766540262177. The reversal of 766540262153 is 351262045667.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 477001566409 + 289538695744 = 690653^2 + 538088^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-766540262153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 766540262098 and 766540262107.

It is not a weakly prime, because it can be changed into another prime (766540261153) 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 as a sum of consecutive naturals, namely, 383270131076 + 383270131077.

It is an arithmetic number, because the mean of its divisors is an integer number (383270131077).

Almost surely, 2766540262153 is an apocalyptic number.

It is an amenable number.

766540262153 is a deficient number, since it is larger than the sum of its proper divisors (1).

766540262153 is an equidigital number, since it uses as much as digits as its factorization.

766540262153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 47.

The spelling of 766540262153 in words is "seven hundred sixty-six billion, five hundred forty million, two hundred sixty-two thousand, one hundred fifty-three".