Search a number
-
+
312672577249 is a prime number
BaseRepresentation
bin1001000110011001011…
…11001110011011100001
31002220001200121122122001
410203030233032123201
520110323134432444
6355350110244001
731406214024604
oct4431457163341
91086050548561
10312672577249
1111067057813a
12507214b6601
132363c420926
14111c21da33b
1581eeed68d4
hex48ccbce6e1

312672577249 has 2 divisors, whose sum is σ = 312672577250. Its totient is φ = 312672577248.

The previous prime is 312672577201. The next prime is 312672577291. The reversal of 312672577249 is 942775276213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312151277025 + 521300224 = 558705^2 + 22832^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312672577249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312672577249.

It is not a weakly prime, because it can be changed into another prime (312672577649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156336288624 + 156336288625.

It is an arithmetic number, because the mean of its divisors is an integer number (156336288625).

Almost surely, 2312672577249 is an apocalyptic number.

It is an amenable number.

312672577249 is a deficient number, since it is larger than the sum of its proper divisors (1).

312672577249 is an equidigital number, since it uses as much as digits as its factorization.

312672577249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8890560, while the sum is 55.

The spelling of 312672577249 in words is "three hundred twelve billion, six hundred seventy-two million, five hundred seventy-seven thousand, two hundred forty-nine".