Search a number
-
+
34759495743 = 377920952077
BaseRepresentation
bin100000010111110100…
…111101000000111111
310022201110010100010020
4200113310331000333
51032141412330433
623545052343223
72340241560510
oct402764750077
9108643110106
1034759495743
1113817913695
1268a0a74b13
13337c45747b
14197a5c2a07
15d868c4cb3
hex817d3d03f

34759495743 has 16 divisors (see below), whose sum is σ = 53637319680. Its totient is φ = 19611143136.

The previous prime is 34759495721. The next prime is 34759495769.

It is a happy number.

34759495743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34759495743 - 28 = 34759495487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34759490743) 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 in 15 ways as a sum of consecutive naturals, for example, 10474380 + ... + 10477697.

It is an arithmetic number, because the mean of its divisors is an integer number (3352332480).

Almost surely, 234759495743 is an apocalyptic number.

34759495743 is a deficient number, since it is larger than the sum of its proper divisors (18877823937).

34759495743 is a wasteful number, since it uses less digits than its factorization.

34759495743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20952166.

The product of its digits is 57153600, while the sum is 60.

The spelling of 34759495743 in words is "thirty-four billion, seven hundred fifty-nine million, four hundred ninety-five thousand, seven hundred forty-three".

Divisors: 1 3 7 21 79 237 553 1659 20952077 62856231 146664539 439993617 1655214083 4965642249 11586498581 34759495743