Search a number
-
+
35180745041 = 132415750077
BaseRepresentation
bin100000110000111011…
…111001000101010001
310100210210210000112002
4200300323321011101
51034022232320131
624054541243345
72353545253541
oct406073710521
9110723700462
1035180745041
1113a13682502
126999b63555
1334187c8a00
1419ba519321
15dad8846cb
hex830ef9151

35180745041 has 12 divisors (see below), whose sum is σ = 38105051292. Its totient is φ = 32466073536.

The previous prime is 35180744999. The next prime is 35180745071. The reversal of 35180745041 is 14054708153.

It can be written as a sum of positive squares in 6 ways, for example, as 1786837441 + 33393907600 = 42271^2 + 182740^2 .

It is not a de Polignac number, because 35180745041 - 210 = 35180744017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35180744986 and 35180745004.

It is not an unprimeable number, because it can be changed into a prime (35180745071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677495 + ... + 727571.

It is an arithmetic number, because the mean of its divisors is an integer number (3175420941).

Almost surely, 235180745041 is an apocalyptic number.

It is an amenable number.

35180745041 is a deficient number, since it is larger than the sum of its proper divisors (2924306251).

35180745041 is a wasteful number, since it uses less digits than its factorization.

35180745041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54260 (or 54247 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 35180745041 in words is "thirty-five billion, one hundred eighty million, seven hundred forty-five thousand, forty-one".

Divisors: 1 13 169 4157 50077 54041 651001 702533 8463013 208170089 2706211157 35180745041