Search a number
-
+
2636761541 is a prime number
BaseRepresentation
bin1001110100101001…
…1100100111000101
320210202112100211212
42131022130213011
520400002332131
61113350541205
7122225050301
oct23512344705
96722470755
102636761541
111133423a77
12617067805
1333037473b
141b0290d01
15106742a2b
hex9d29c9c5

2636761541 has 2 divisors, whose sum is σ = 2636761542. Its totient is φ = 2636761540.

The previous prime is 2636761531. The next prime is 2636761559. The reversal of 2636761541 is 1451676362.

2636761541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2481036100 + 155725441 = 49810^2 + 12479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2636761541 is a prime.

It is a super-2 number, since 2×26367615412 = 13905022848193389362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2636761531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1318380770 + 1318380771.

It is an arithmetic number, because the mean of its divisors is an integer number (1318380771).

Almost surely, 22636761541 is an apocalyptic number.

It is an amenable number.

2636761541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2636761541 is an equidigital number, since it uses as much as digits as its factorization.

2636761541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 181440, while the sum is 41.

The square root of 2636761541 is about 51349.4064327914. The cubic root of 2636761541 is about 1381.5192854142.

The spelling of 2636761541 in words is "two billion, six hundred thirty-six million, seven hundred sixty-one thousand, five hundred forty-one".