Search a number
-
+
87687348894 = 232192911378241
BaseRepresentation
bin101000110101010010…
…0101100001010011110
322101100002012212012200
41101222210230022132
52414040430131034
6104141044112330
76222655111335
oct1215244541236
9271302185180
1087687348894
113420824a092
1214bb23956a6
13836596a982
14435bad8d1c
15243330ba99
hex146a92c29e

87687348894 has 96 divisors (see below), whose sum is σ = 208718359200. Its totient is φ = 26498949120.

The previous prime is 87687348887. The next prime is 87687348911. The reversal of 87687348894 is 49884378678.

87687348894 is a `hidden beast` number, since 8 + 76 + 8 + 73 + 488 + 9 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081614 + ... + 1159854.

It is an arithmetic number, because the mean of its divisors is an integer number (2174149575).

Almost surely, 287687348894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87687348894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104359179600).

87687348894 is an abundant number, since it is smaller than the sum of its proper divisors (121031010306).

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

87687348894 is a wasteful number, since it uses less digits than its factorization.

87687348894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78410 (or 78407 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 87687348894 in words is "eighty-seven billion, six hundred eighty-seven million, three hundred forty-eight thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 113 114 171 174 226 261 339 342 522 551 678 1017 1102 1653 2034 2147 3277 3306 4294 4959 6441 6554 9831 9918 12882 19323 19662 29493 38646 58986 62263 78241 124526 156482 186789 234723 373578 469446 560367 704169 1120734 1408338 1486579 2268989 2973158 4459737 4537978 6806967 8841233 8919474 13379211 13613934 17682466 20420901 26523699 26758422 40841802 43110791 53047398 79571097 86221582 129332373 159142194 167983427 256395757 258664746 335966854 387997119 503950281 512791514 769187271 775994238 1007900562 1511850843 1538374542 2307561813 3023701686 4615123626 4871519383 9743038766 14614558149 29229116298 43843674447 87687348894