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3485007137 is a prime number
BaseRepresentation
bin1100111110111000…
…1111110100100001
322222212122201001102
43033232033310201
524114130212022
61333451444145
7152235033443
oct31756176441
98885581042
103485007137
111529217497
12813156655
1343701a301
14250bb8493
15155e49a92
hexcfb8fd21

3485007137 has 2 divisors, whose sum is σ = 3485007138. Its totient is φ = 3485007136.

The previous prime is 3485007107. The next prime is 3485007193. The reversal of 3485007137 is 7317005843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3359477521 + 125529616 = 57961^2 + 11204^2 .

It is a cyclic number.

It is not a de Polignac number, because 3485007137 - 28 = 3485006881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3485007137.

It is not a weakly prime, because it can be changed into another prime (3485007107) 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, 1742503568 + 1742503569.

It is an arithmetic number, because the mean of its divisors is an integer number (1742503569).

Almost surely, 23485007137 is an apocalyptic number.

It is an amenable number.

3485007137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3485007137 is an equidigital number, since it uses as much as digits as its factorization.

3485007137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 3485007137 is about 59033.9490208812. The cubic root of 3485007137 is about 1516.1234228211.

The spelling of 3485007137 in words is "three billion, four hundred eighty-five million, seven thousand, one hundred thirty-seven".