Search a number
-
+
16736509649 is a prime number
BaseRepresentation
bin11111001011001001…
…01101111011010001
31121012101200210002202
433211210231323101
5233234021302044
611404425252545
71131513661526
oct174544557321
947171623082
1016736509649
117109361462
1232b1034155
131769539562
14b4aad114d
1567e4cac4e
hex3e592ded1

16736509649 has 2 divisors, whose sum is σ = 16736509650. Its totient is φ = 16736509648.

The previous prime is 16736509619. The next prime is 16736509693. The reversal of 16736509649 is 94690563761.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14608348225 + 2128161424 = 120865^2 + 46132^2 .

It is a cyclic number.

It is not a de Polignac number, because 16736509649 - 28 = 16736509393 is a prime.

It is a super-2 number, since 2×167365096492 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16736509594 and 16736509603.

It is not a weakly prime, because it can be changed into another prime (16736509619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8368254824 + 8368254825.

It is an arithmetic number, because the mean of its divisors is an integer number (8368254825).

Almost surely, 216736509649 is an apocalyptic number.

It is an amenable number.

16736509649 is a deficient number, since it is larger than the sum of its proper divisors (1).

16736509649 is an equidigital number, since it uses as much as digits as its factorization.

16736509649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7348320, while the sum is 56.

The spelling of 16736509649 in words is "sixteen billion, seven hundred thirty-six million, five hundred nine thousand, six hundred forty-nine".