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2116161366 = 2311196789283
BaseRepresentation
bin111111000100010…
…0000111101010110
312110110221010122220
41332020200331112
513313214130431
6545552403210
7103304034444
oct17610407526
95413833586
102116161366
119965773a0
124b0846506
13279558cb7
14161095b94
15c5baab96
hex7e220f56

2116161366 has 128 divisors (see below), whose sum is σ = 5005670400. Its totient is φ = 589628160.

The previous prime is 2116161361. The next prime is 2116161367. The reversal of 2116161366 is 6631616112.

2116161366 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116161361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7477461 + ... + 7477743.

It is an arithmetic number, because the mean of its divisors is an integer number (39106800).

Almost surely, 22116161366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116161366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502835200).

2116161366 is an abundant number, since it is smaller than the sum of its proper divisors (2889509034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2116161366 is a wasteful number, since it uses less digits than its factorization.

2116161366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474.

The product of its digits is 7776, while the sum is 33.

The square root of 2116161366 is about 46001.7539448226. The cubic root of 2116161366 is about 1283.8558385232.

Adding to 2116161366 its reverse (6631616112), we get a palindrome (8747777478).

The spelling of 2116161366 in words is "two billion, one hundred sixteen million, one hundred sixty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 67 89 114 134 178 201 209 267 283 402 418 534 566 627 737 849 979 1254 1273 1474 1691 1698 1958 2211 2546 2937 3113 3382 3819 4422 5073 5377 5874 5963 6226 7638 9339 10146 10754 11926 14003 16131 17889 18601 18678 18961 25187 28006 32262 35778 37202 37922 42009 50374 55803 56883 59147 65593 75561 84018 111606 113297 113766 118294 131186 151122 177441 196779 208571 226594 277057 339891 354882 360259 393558 417142 478553 554114 625713 679782 720518 831171 957106 1080777 1246267 1251426 1435659 1662342 1687529 2161554 2492534 2871318 3375058 3738801 3962849 5062587 5264083 7477602 7925698 10125174 10528166 11888547 15792249 18562819 23777094 31584498 32063051 37125638 55688457 64126102 96189153 111376914 192378306 352693561 705387122 1058080683 2116161366