Search a number
-
+
10742036761 is a prime number
BaseRepresentation
bin10100000000100011…
…00111100100011001
31000201122001000012101
422000101213210121
5133444430134021
64533531043401
7530124543301
oct120021474431
930648030171
1010742036761
114612666235
1220b95a0561
131022657491
1473c920601
1542d0d5a91
hex280467919

10742036761 has 2 divisors, whose sum is σ = 10742036762. Its totient is φ = 10742036760.

The previous prime is 10742036737. The next prime is 10742036791. The reversal of 10742036761 is 16763024701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8612768025 + 2129268736 = 92805^2 + 46144^2 .

It is a cyclic number.

It is not a de Polignac number, because 10742036761 - 211 = 10742034713 is a prime.

It is a super-2 number, since 2×107420367612 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10742036761.

It is not a weakly prime, because it can be changed into another prime (10742036791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5371018380 + 5371018381.

It is an arithmetic number, because the mean of its divisors is an integer number (5371018381).

Almost surely, 210742036761 is an apocalyptic number.

It is an amenable number.

10742036761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10742036761 is an equidigital number, since it uses as much as digits as its factorization.

10742036761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 10742036761 in words is "ten billion, seven hundred forty-two million, thirty-six thousand, seven hundred sixty-one".