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29716974318881 is a prime number
BaseRepresentation
bin1101100000111000001011…
…01100101011010100100001
310220012220201000221110210002
412300130011230223110201
512343340330411201011
6143111442312345345
76154660216654643
oct660340554532441
9126186630843702
1029716974318881
119517997312873
1233bb4226a5255
1313773b61b1815
1474a448760893
1536801791cc3b
hex1b0705b2b521

29716974318881 has 2 divisors, whose sum is σ = 29716974318882. Its totient is φ = 29716974318880.

The previous prime is 29716974318827. The next prime is 29716974318883. The reversal of 29716974318881 is 18881347961792.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29408495161600 + 308479157281 = 5422960^2 + 555409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29716974318881 is a prime.

It is a super-2 number, since 2×297169743188812 (a number of 28 digits) contains 22 as substring.

Together with 29716974318883, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 29716974318799 and 29716974318808.

It is not a weakly prime, because it can be changed into another prime (29716974318883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14858487159440 + 14858487159441.

It is an arithmetic number, because the mean of its divisors is an integer number (14858487159441).

Almost surely, 229716974318881 is an apocalyptic number.

It is an amenable number.

29716974318881 is a deficient number, since it is larger than the sum of its proper divisors (1).

29716974318881 is an equidigital number, since it uses as much as digits as its factorization.

29716974318881 is an evil number, because the sum of its binary digits is even.

The product of its digits is 292626432, while the sum is 74.

The spelling of 29716974318881 in words is "twenty-nine trillion, seven hundred sixteen billion, nine hundred seventy-four million, three hundred eighteen thousand, eight hundred eighty-one".