Search a number
-
+
2968001667769 is a prime number
BaseRepresentation
bin101011001100001010101…
…011110110001010111001
3101111201221010202120121011
4223030022223312022321
5342111431411332034
610151251532113521
7424300563630535
oct53141253661271
911451833676534
102968001667769
11a447a4625106
123bb2759058a1
13186b5c4558c8
14a391b308bc5
1552310486864
hex2b30aaf62b9

2968001667769 has 2 divisors, whose sum is σ = 2968001667770. Its totient is φ = 2968001667768.

The previous prime is 2968001667679. The next prime is 2968001667793. The reversal of 2968001667769 is 9677661008692.

Together with previous prime (2968001667679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2589241428544 + 378760239225 = 1609112^2 + 615435^2 .

It is a cyclic number.

It is not a de Polignac number, because 2968001667769 - 225 = 2967968113337 is a prime.

It is a super-2 number, since 2×29680016677692 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2968001667269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1484000833884 + 1484000833885.

It is an arithmetic number, because the mean of its divisors is an integer number (1484000833885).

Almost surely, 22968001667769 is an apocalyptic number.

It is an amenable number.

2968001667769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2968001667769 is an equidigital number, since it uses as much as digits as its factorization.

2968001667769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82301184, while the sum is 67.

The spelling of 2968001667769 in words is "two trillion, nine hundred sixty-eight billion, one million, six hundred sixty-seven thousand, seven hundred sixty-nine".