Search a number
-
+
90653868690 = 23571148178147
BaseRepresentation
bin101010001101101100…
…1000100001010010010
322122222211020200100020
41110123121010022102
52441124342244230
6105351255004310
76356326112160
oct1243331041222
9278884220306
1090653868690
113549a822340
121569b969696
13871942c128
14455daa8230
15255898a810
hex151b644292

90653868690 has 128 divisors (see below), whose sum is σ = 271344826368. Its totient is φ = 18830945280.

The previous prime is 90653868689. The next prime is 90653868707. The reversal of 90653868690 is 9686835609.

It is a super-2 number, since 2×906538686902 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11123197 + ... + 11131343.

It is an arithmetic number, because the mean of its divisors is an integer number (2119881456).

Almost surely, 290653868690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90653868690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135672413184).

90653868690 is an abundant number, since it is smaller than the sum of its proper divisors (180690957678).

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

90653868690 is a wasteful number, since it uses less digits than its factorization.

90653868690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12992.

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 90653868690 in words is "ninety billion, six hundred fifty-three million, eight hundred sixty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 4817 8147 9634 14451 16294 24085 24441 28902 33719 40735 48170 48882 52987 57029 67438 72255 81470 89617 101157 105974 114058 122205 144510 158961 168595 171087 179234 202314 244410 264935 268851 285145 317922 337190 342174 370909 448085 505785 529870 537702 570290 627319 741818 794805 855435 896170 1011570 1112727 1254638 1344255 1589610 1710870 1854545 1881957 2225454 2688510 3136595 3709090 3763914 5563635 6273190 9409785 11127270 18819570 39244099 78488198 117732297 196220495 235464594 274708693 392440990 431685089 549417386 588661485 824126079 863370178 1177322970 1295055267 1373543465 1648252158 2158425445 2590110534 2747086930 3021795623 4120630395 4316850890 6043591246 6475276335 8241260790 9065386869 12950552670 15108978115 18130773738 30217956230 45326934345 90653868690