Search a number
-
+
34960780605053 = 673170930396529
BaseRepresentation
bin1111111001011111100001…
…11010001011011001111101
311120210012212220121012020002
413330233300322023121331
514040244134313330203
6202204432204004045
710235555506655132
oct774576072133175
9146705786535202
1034960780605053
1110159869253716
123b07772830625
131667a310a2c34
1488c17a0c2589
15409624308d88
hex1fcbf0e8b67d

34960780605053 has 8 divisors (see below), whose sum is σ = 35033216686200. Its totient is φ = 34888405321728.

The previous prime is 34960780605019. The next prime is 34960780605097. The reversal of 34960780605053 is 35050608706943.

It can be written as a sum of positive squares in 4 ways, for example, as 356997885049 + 34603782720004 = 597493^2 + 5882498^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34960780605053 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34960780605053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34960780605353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14048108 + ... + 16348421.

It is an arithmetic number, because the mean of its divisors is an integer number (4379152085775).

Almost surely, 234960780605053 is an apocalyptic number.

It is an amenable number.

34960780605053 is a deficient number, since it is larger than the sum of its proper divisors (72436081147).

34960780605053 is a wasteful number, since it uses less digits than its factorization.

34960780605053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30398911.

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 34960780605053 in words is "thirty-four trillion, nine hundred sixty billion, seven hundred eighty million, six hundred five thousand, fifty-three".

Divisors: 1 673 1709 1150157 30396529 20456864017 51947668061 34960780605053