Search a number
-
+
2168627105469 = 311712693440807
BaseRepresentation
bin11111100011101100001…
…111111000111010111101
321200022121100111100211210
4133203230033320322331
5241012322014333334
64340130433035033
7312451413152166
oct37435417707275
97608540440753
102168627105469
11766789512a80
122b03649b5a79
13129667c40316
1476d6806c76d
153b6270395e9
hex1f8ec3f8ebd

2168627105469 has 32 divisors (see below), whose sum is σ = 3210686760960. Its totient is φ = 1290990411200.

The previous prime is 2168627105459. The next prime is 2168627105503. The reversal of 2168627105469 is 9645017268612.

It is a cyclic number.

It is not a de Polignac number, because 2168627105469 - 28 = 2168627105213 is a prime.

It is a super-2 number, since 2×21686271054692 (a number of 25 digits) contains 22 as substring.

It is a partition number, being equal to the number of ways a set of 193 identical objects can be partitioned into subset.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168627105419) 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, 1090137 + ... + 2350670.

It is an arithmetic number, because the mean of its divisors is an integer number (100333961280).

Almost surely, 22168627105469 is an apocalyptic number.

It is an amenable number.

2168627105469 is a deficient number, since it is larger than the sum of its proper divisors (1042059655491).

2168627105469 is a wasteful number, since it uses less digits than its factorization.

2168627105469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441161.

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 2168627105469 in words is "two trillion, one hundred sixty-eight billion, six hundred twenty-seven million, one hundred five thousand, four hundred sixty-nine".

Divisors: 1 3 11 33 71 213 269 781 807 2343 2959 8877 19099 57297 210089 630267 3440807 10322421 37848877 113546631 244297297 732891891 925577083 2687270267 2776731249 8061810801 10181347913 30544043739 65715972893 197147918679 722875701823 2168627105469