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29967042697 is a prime number
BaseRepresentation
bin11011111010001011…
…001100100010001001
32212100110021111110021
4123322023030202021
5442333030331242
621433333420441
72110416442264
oct337213144211
985313244407
1029967042697
1111788683799
125983a9a721
132a975c6037
141643d09cdb
15ba5cb8b67
hex6fa2cc889

29967042697 has 2 divisors, whose sum is σ = 29967042698. Its totient is φ = 29967042696.

The previous prime is 29967042653. The next prime is 29967042713. The reversal of 29967042697 is 79624076992.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17714545216 + 12252497481 = 133096^2 + 110691^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29967042697 is a prime.

It is a super-3 number, since 3×299670426973 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (29967042617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14983521348 + 14983521349.

It is an arithmetic number, because the mean of its divisors is an integer number (14983521349).

Almost surely, 229967042697 is an apocalyptic number.

It is an amenable number.

29967042697 is a deficient number, since it is larger than the sum of its proper divisors (1).

29967042697 is an equidigital number, since it uses as much as digits as its factorization.

29967042697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20575296, while the sum is 61.

The spelling of 29967042697 in words is "twenty-nine billion, nine hundred sixty-seven million, forty-two thousand, six hundred ninety-seven".