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29463722513 is a prime number
BaseRepresentation
bin11011011100001011…
…001011101000010001
32211001101012011221222
4123130023023220101
5440320203110023
621311353454425
72062065336431
oct333413135021
984041164858
1029463722513
111154a5598a5
125863411415
132a1724a944
1415d712c2c1
15b769e6cc8
hex6dc2cba11

29463722513 has 2 divisors, whose sum is σ = 29463722514. Its totient is φ = 29463722512.

The previous prime is 29463722479. The next prime is 29463722521. The reversal of 29463722513 is 31522736492.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26389352704 + 3074369809 = 162448^2 + 55447^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29463722513 is a prime.

It is a super-3 number, since 3×294637225133 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (29463022513) 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, 14731861256 + 14731861257.

It is an arithmetic number, because the mean of its divisors is an integer number (14731861257).

Almost surely, 229463722513 is an apocalyptic number.

It is an amenable number.

29463722513 is a deficient number, since it is larger than the sum of its proper divisors (1).

29463722513 is an equidigital number, since it uses as much as digits as its factorization.

29463722513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 44.

The spelling of 29463722513 in words is "twenty-nine billion, four hundred sixty-three million, seven hundred twenty-two thousand, five hundred thirteen".