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34875768013 is a prime number
BaseRepresentation
bin100000011110110000…
…011111110011001101
310100000112220120200121
4200132300133303031
51032411144034023
624004404424541
72343153064642
oct403660376315
9110015816617
1034875768013
1113877509779
1269139a8151
13339a577728
14198bc0bdc9
15d91be0d5d
hex81ec1fccd

34875768013 has 2 divisors, whose sum is σ = 34875768014. Its totient is φ = 34875768012.

The previous prime is 34875768007. The next prime is 34875768023. The reversal of 34875768013 is 31086757843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28497828969 + 6377939044 = 168813^2 + 79862^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34875768013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34875768023) 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, 17437884006 + 17437884007.

It is an arithmetic number, because the mean of its divisors is an integer number (17437884007).

Almost surely, 234875768013 is an apocalyptic number.

It is an amenable number.

34875768013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34875768013 is an equidigital number, since it uses as much as digits as its factorization.

34875768013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 34875768013 in words is "thirty-four billion, eight hundred seventy-five million, seven hundred sixty-eight thousand, thirteen".