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34237264081 is a prime number
BaseRepresentation
bin11111111000101100…
…110011000011010001
310021101001110012221211
4133320230303003101
51030104214422311
623421155220121
72321300641306
oct377054630321
9107331405854
1034237264081
111357a052279
126775ba7641
1332c81ba257
14192b0c10ad
15d55b19821
hex7f8b330d1

34237264081 has 2 divisors, whose sum is σ = 34237264082. Its totient is φ = 34237264080.

The previous prime is 34237264079. The next prime is 34237264151. The reversal of 34237264081 is 18046273243.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27211471681 + 7025792400 = 164959^2 + 83820^2 .

It is a cyclic number.

It is not a de Polignac number, because 34237264081 - 21 = 34237264079 is a prime.

It is a super-2 number, since 2×342372640812 (a number of 22 digits) contains 22 as substring.

Together with 34237264079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34237264021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17118632040 + 17118632041.

It is an arithmetic number, because the mean of its divisors is an integer number (17118632041).

Almost surely, 234237264081 is an apocalyptic number.

It is an amenable number.

34237264081 is a deficient number, since it is larger than the sum of its proper divisors (1).

34237264081 is an equidigital number, since it uses as much as digits as its factorization.

34237264081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 34237264081 in words is "thirty-four billion, two hundred thirty-seven million, two hundred sixty-four thousand, eighty-one".