Search a number
-
+
90214809208160 = 2557136196072061
BaseRepresentation
bin10100100000110011000101…
…101010000000010101100000
3102211102110012011111200102212
4110200303011222000111200
543311034412124130120
6515512040004301252
725000543033564640
oct2440630552002540
9384373164450385
1090214809208160
11268219819a266a
12a1502990a1828
133b452b2473970
14183c5c4922520
15a66a62ec96c5
hex520cc5a80560

90214809208160 has 96 divisors (see below), whose sum is σ = 262316906816832. Its totient is φ = 28551500052480.

The previous prime is 90214809208079. The next prime is 90214809208171. The reversal of 90214809208160 is 6180290841209.

It is a junction number, because it is equal to n+sod(n) for n = 90214809208099 and 90214809208108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3098021471 + ... + 3098050590.

It is an arithmetic number, because the mean of its divisors is an integer number (2732467779342).

Almost surely, 290214809208160 is an apocalyptic number.

It is an amenable number.

90214809208160 is an abundant number, since it is smaller than the sum of its proper divisors (172102097608672).

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

90214809208160 is a wasteful number, since it uses less digits than its factorization.

90214809208160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196072096 (or 6196072088 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The spelling of 90214809208160 in words is "ninety trillion, two hundred fourteen billion, eight hundred nine million, two hundred eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 6196072061 12392144122 24784288244 30980360305 43372504427 49568576488 61960720610 80548936793 86745008854 99137152976 123921441220 161097873586 173490017708 198274305952 216862522135 247842882440 322195747172 346980035416 402744683965 433725044270 495685764880 563842557551 644391494344 693960070832 805489367930 867450088540 991371529760 1127685115102 1288782988688 1387920141664 1610978735860 1734900177080 2255370230204 2577565977376 2819212787755 3221957471720 3469800354160 4510740460408 5638425575510 6443914943440 6939600708320 9021480920816 11276851151020 12887829886880 18042961841632 22553702302040 45107404604080 90214809208160