Search a number
-
+
34747296696481 is a prime number
BaseRepresentation
bin1111110011010001111000…
…10001101100100010100001
311120000210211211221222111111
413321220330101230202201
514023244430423241411
6201522404314543321
710214260255456255
oct771507421544241
9146023754858444
1034747296696481
1110087278141426
123a92313437b41
13165086b372345
14881ac72ac265
15403ccc1e7721
hex1f9a3c46c8a1

34747296696481 has 2 divisors, whose sum is σ = 34747296696482. Its totient is φ = 34747296696480.

The previous prime is 34747296696421. The next prime is 34747296696499. The reversal of 34747296696481 is 18469669274743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31843629576256 + 2903667120225 = 5643016^2 + 1704015^2 .

It is an emirp because it is prime and its reverse (18469669274743) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34747296696481 - 211 = 34747296694433 is a prime.

It is a super-2 number, since 2×347472966964812 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34747296696398 and 34747296696407.

It is not a weakly prime, because it can be changed into another prime (34747296696421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17373648348240 + 17373648348241.

It is an arithmetic number, because the mean of its divisors is an integer number (17373648348241).

Almost surely, 234747296696481 is an apocalyptic number.

It is an amenable number.

34747296696481 is a deficient number, since it is larger than the sum of its proper divisors (1).

34747296696481 is an equidigital number, since it uses as much as digits as its factorization.

34747296696481 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2633637888, while the sum is 76.

The spelling of 34747296696481 in words is "thirty-four trillion, seven hundred forty-seven billion, two hundred ninety-six million, six hundred ninety-six thousand, four hundred eighty-one".