Search a number
-
+
34217733745 = 5131973337799
BaseRepresentation
bin11111110111100010…
…010010111001110001
310021022200200222101001
4133313202102321301
51030034214434440
623415220442001
72320642636456
oct376742227161
9107280628331
1034217733745
111356a0228a8
12676b549301
1332c413c840
14192867982d
15d5405cb9a
hex7f7892e71

34217733745 has 32 divisors (see below), whose sum is σ = 46611936000. Its totient is φ = 23905269504.

The previous prime is 34217733731. The next prime is 34217733749. The reversal of 34217733745 is 54733771243.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34217733745 - 25 = 34217733713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34217733695 and 34217733704.

It is not an unprimeable number, because it can be changed into a prime (34217733749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886356 + ... + 924154.

It is an arithmetic number, because the mean of its divisors is an integer number (1456623000).

Almost surely, 234217733745 is an apocalyptic number.

It is an amenable number.

34217733745 is a deficient number, since it is larger than the sum of its proper divisors (12394202255).

34217733745 is a wasteful number, since it uses less digits than its factorization.

34217733745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38569.

The product of its digits is 1481760, while the sum is 46.

The spelling of 34217733745 in words is "thirty-four billion, two hundred seventeen million, seven hundred thirty-three thousand, seven hundred forty-five".

Divisors: 1 5 13 19 65 95 247 733 1235 3665 9529 13927 37799 47645 69635 181051 188995 491387 718181 905255 2456935 3590905 9336353 27706667 46681765 138533335 360186671 526426673 1800933355 2632133365 6843546749 34217733745