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384880755350884 = 2213283290912
BaseRepresentation
bin101011110000011000000100…
…0101101000001110101100100
31212110202020111121001221000111
41113200300020231001311210
5400421341241332212014
63442323440022422404
7144032500624563412
oct12740601055016544
91773666447057014
10384880755350884
111016a9014636331
1237200576291a04
131369b13a793100
146b08483c922b2
152e76971ebb2c4
hex15e0c08b41d64

384880755350884 has 81 divisors (see below), whose sum is σ = 738311928305049. Its totient is φ = 175477759123680.

The previous prime is 384880755350873. The next prime is 384880755350891. The reversal of 384880755350884 is 488053557088483.

The square root of 384880755350884 is 19618378.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56935022980900 + 327945732369984 = 7545530^2 + 18109272^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 384880755350884.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42336455179 + ... + 42336464269.

Almost surely, 2384880755350884 is an apocalyptic number.

384880755350884 is the 19618378-th square number.

It is an amenable number.

384880755350884 is a deficient number, since it is larger than the sum of its proper divisors (353431172954165).

384880755350884 is an frugal number, since it uses more digits than its factorization.

384880755350884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18378 (or 9189 counting only the distinct ones).

The product of its (nonzero) digits is 4128768000, while the sum is 76.

The spelling of 384880755350884 in words is "three hundred eighty-four trillion, eight hundred eighty billion, seven hundred fifty-five million, three hundred fifty thousand, eight hundred eighty-four".

Divisors: 1 2 4 13 26 52 83 166 169 332 338 676 1079 2158 4316 6889 9091 13778 14027 18182 27556 28054 36364 56108 89557 118183 179114 236366 358228 472732 754553 1164241 1509106 1536379 2328482 3018212 3072758 4656964 6145516 9809189 19618378 39236756 62627899 82646281 125255798 127519457 165292562 250511596 255038914 330585124 510077828 814162687 1074401653 1628325374 2148803306 3256650748 4297606612 6859641323 10584114931 13719282646 13967221489 21168229862 27438565292 27934442978 42336459724 55868885956 89175337199 178350674398 356701348796 569350229809 1138700459618 1159279383587 2277400919236 2318558767174 4637117534348 7401552987517 14803105975034 29606211950068 96220188837721 192440377675442 384880755350884