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4137004769 is a prime number
BaseRepresentation
bin1111011010010101…
…1010111011100001
3101200022111121122212
43312211122323201
531433033123034
61522302211505
7204342650252
oct36645327341
911608447585
104137004769
11183325aa07
12975583b95
1350c120621
142b3618b29
151932d92ce
hexf695aee1

4137004769 has 2 divisors, whose sum is σ = 4137004770. Its totient is φ = 4137004768.

The previous prime is 4137004741. The next prime is 4137004849. The reversal of 4137004769 is 9674007314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3460380625 + 676624144 = 58825^2 + 26012^2 .

It is a cyclic number.

It is not a de Polignac number, because 4137004769 - 28 = 4137004513 is a prime.

It is a super-2 number, since 2×41370047692 = 34229616917457486722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4137004709) 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, 2068502384 + 2068502385.

It is an arithmetic number, because the mean of its divisors is an integer number (2068502385).

Almost surely, 24137004769 is an apocalyptic number.

It is an amenable number.

4137004769 is a deficient number, since it is larger than the sum of its proper divisors (1).

4137004769 is an equidigital number, since it uses as much as digits as its factorization.

4137004769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 4137004769 is about 64319.5519962632. The cubic root of 4137004769 is about 1605.3214444023.

The spelling of 4137004769 in words is "four billion, one hundred thirty-seven million, four thousand, seven hundred sixty-nine".