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2948169056081 is a prime number
BaseRepresentation
bin101010111001101100100…
…100011011111101010001
3101102211201222012111221112
4222321230210123331101
5341300322234243311
610134211542303105
7422666243334314
oct52715444337521
911384658174845
102948169056081
11a37347634437
123b745ba27a95
1318501b657612
14a299935697b
1551a4e28228b
hex2ae6c91bf51

2948169056081 has 2 divisors, whose sum is σ = 2948169056082. Its totient is φ = 2948169056080.

The previous prime is 2948169056039. The next prime is 2948169056087. The reversal of 2948169056081 is 1806509618492.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2369108934481 + 579060121600 = 1539191^2 + 760960^2 .

It is a cyclic number.

It is not a de Polignac number, because 2948169056081 - 26 = 2948169056017 is a prime.

It is a super-3 number, since 3×29481690560813 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2948169056081.

It is not a weakly prime, because it can be changed into another prime (2948169056087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1474084528040 + 1474084528041.

It is an arithmetic number, because the mean of its divisors is an integer number (1474084528041).

Almost surely, 22948169056081 is an apocalyptic number.

It is an amenable number.

2948169056081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2948169056081 is an equidigital number, since it uses as much as digits as its factorization.

2948169056081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7464960, while the sum is 59.

The spelling of 2948169056081 in words is "two trillion, nine hundred forty-eight billion, one hundred sixty-nine million, fifty-six thousand, eighty-one".