Search a number
-
+
35405040798749 is a prime number
BaseRepresentation
bin10000000110011011000001…
…11000010100110000011101
311122100200121011112100211002
420003031200320110300131
514120034010421024444
6203144503505440045
710312633626212546
oct1003154070246035
9148320534470732
1035405040798749
1110310214583696
123b79898640025
13169a8b12866ab
148a58825774cd
15415e76708d4e
hex203360e14c1d

35405040798749 has 2 divisors, whose sum is σ = 35405040798750. Its totient is φ = 35405040798748.

The previous prime is 35405040798629. The next prime is 35405040798761. The reversal of 35405040798749 is 94789704050453.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33646751538724 + 1758289260025 = 5800582^2 + 1326005^2 .

It is a cyclic number.

It is not a de Polignac number, because 35405040798749 - 28 = 35405040798493 is a prime.

It is a super-2 number, since 2×354050407987492 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35405040798349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17702520399374 + 17702520399375.

It is an arithmetic number, because the mean of its divisors is an integer number (17702520399375).

Almost surely, 235405040798749 is an apocalyptic number.

It is an amenable number.

35405040798749 is a deficient number, since it is larger than the sum of its proper divisors (1).

35405040798749 is an equidigital number, since it uses as much as digits as its factorization.

35405040798749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 152409600, while the sum is 65.

The spelling of 35405040798749 in words is "thirty-five trillion, four hundred five billion, forty million, seven hundred ninety-eight thousand, seven hundred forty-nine".