Search a number
-
+
90189663876 = 223213317187557
BaseRepresentation
bin101001111111110111…
…0010000111010000100
322121210110202122001100
41103333232100322010
52434202023221001
6105233233300100
76341661331314
oct1237756207204
9277713678040
1090189663876
11352817943a4
1215590404630
1386741caa20
14451818d444
15252cd43586
hex14ffb90e84

90189663876 has 144 divisors (see below), whose sum is σ = 257008647168. Its totient is φ = 26476934400.

The previous prime is 90189663829. The next prime is 90189663877. The reversal of 90189663876 is 67836698109.

It is not an unprimeable number, because it can be changed into a prime (90189663877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986290 + ... + 1073846.

It is an arithmetic number, because the mean of its divisors is an integer number (1784782272).

Almost surely, 290189663876 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 90189663876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128504323584).

90189663876 is an abundant number, since it is smaller than the sum of its proper divisors (166818983292).

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

90189663876 is a wasteful number, since it uses less digits than its factorization.

90189663876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87682 (or 87677 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 90189663876 in words is "ninety billion, one hundred eighty-nine million, six hundred sixty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 71 78 93 117 124 142 156 186 213 234 279 284 372 403 426 468 558 639 806 852 923 1116 1209 1278 1612 1846 2201 2418 2556 2769 3627 3692 4402 4836 5538 6603 7254 8307 8804 11076 13206 14508 16614 19809 26412 28613 33228 39618 57226 79236 85839 87557 114452 171678 175114 257517 262671 343356 350228 515034 525342 788013 1030068 1050684 1138241 1576026 2276482 2714267 3152052 3414723 4552964 5428534 6216547 6829446 8142801 10244169 10857068 12433094 13658892 16285602 18649641 20488338 24428403 24866188 32571204 35285471 37299282 40976676 48856806 55948923 70570942 74598564 80815111 97713612 105856413 111897846 141141884 161630222 192712957 211712826 223795692 242445333 317569239 323260444 385425914 423425652 484890666 578138871 635138478 727335999 770851828 969781332 1156277742 1270276956 1454671998 1734416613 2312555484 2505268441 2909343996 3468833226 5010536882 6937666452 7515805323 10021073764 15031610646 22547415969 30063221292 45094831938 90189663876