Search a number
-
+
18086132208 = 2433723474339
BaseRepresentation
bin10000110110000001…
…000111100111110000
31201200110020201012110
4100312001013213300
5244020022212313
612150400325320
71210122405264
oct206601074760
951613221173
1018086132208
117741171901
123609013840
131923029ba1
14c3804c0a4
1570cc1dec3
hex4360479f0

18086132208 has 80 divisors (see below), whose sum is σ = 48016787840. Its totient is φ = 5861922048.

The previous prime is 18086132191. The next prime is 18086132209. The reversal of 18086132208 is 80223168081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18086132209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4166103 + ... + 4170441.

It is an arithmetic number, because the mean of its divisors is an integer number (600209848).

Almost surely, 218086132208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18086132208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008393920).

18086132208 is an abundant number, since it is smaller than the sum of its proper divisors (29930655632).

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

18086132208 is a wasteful number, since it uses less digits than its factorization.

18086132208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 18086132208 in words is "eighteen billion, eighty-six million, one hundred thirty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 2347 4339 4694 7041 8678 9388 13017 14082 17356 18776 26034 28164 34712 37552 52068 56328 69424 86839 104136 112656 160543 173678 208272 260517 321086 347356 481629 521034 642172 694712 963258 1042068 1284344 1389424 1926516 2084136 2568688 3853032 4168272 7706064 10183633 20367266 30550899 40734532 61101798 81469064 122203596 162938128 244407192 376794421 488814384 753588842 1130383263 1507177684 2260766526 3014355368 4521533052 6028710736 9043066104 18086132208