Search a number
-
+
2723376301297 is a prime number
BaseRepresentation
bin100111101000010101111…
…000001000010011110001
3100122100111202222101121221
4213220111320020103301
5324104433313120142
65443033553345041
7400520542420351
oct47502570102361
910570452871557
102723376301297
1195aa82a18653
1237b985268181
13169a75a24c52
1495b52638b61
154ac94426767
hex27a15e084f1

2723376301297 has 2 divisors, whose sum is σ = 2723376301298. Its totient is φ = 2723376301296.

The previous prime is 2723376301273. The next prime is 2723376301339. The reversal of 2723376301297 is 7921036733272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1503232932096 + 1220143369201 = 1226064^2 + 1104601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2723376301297 is a prime.

It is a super-2 number, since 2×27233763012972 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2723376301207) 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, 1361688150648 + 1361688150649.

It is an arithmetic number, because the mean of its divisors is an integer number (1361688150649).

Almost surely, 22723376301297 is an apocalyptic number.

It is an amenable number.

2723376301297 is a deficient number, since it is larger than the sum of its proper divisors (1).

2723376301297 is an equidigital number, since it uses as much as digits as its factorization.

2723376301297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4000752, while the sum is 52.

The spelling of 2723376301297 in words is "two trillion, seven hundred twenty-three billion, three hundred seventy-six million, three hundred one thousand, two hundred ninety-seven".