Search a number
-
+
985161468880 = 24517724383433
BaseRepresentation
bin11100101011000000011…
…00110000101111010000
310111011212121002221110101
432111200030300233100
5112120102314001010
62032324341142144
7131114135214241
oct16254014605720
93434777087411
10985161468880
1134a893a69936
1213ab206ba954
1371b92035a04
1435979854cc8
151a95dbe973a
hexe560330bd0

985161468880 has 40 divisors (see below), whose sum is σ = 2425235737032. Its totient is φ = 370884317184.

The previous prime is 985161468877. The next prime is 985161468887. The reversal of 985161468880 is 88864161589.

It can be written as a sum of positive squares in 4 ways, for example, as 30601204624 + 954560264256 = 174932^2 + 977016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985161468887) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 362190357 + ... + 362193076.

Almost surely, 2985161468880 is an apocalyptic number.

It is an amenable number.

985161468880 is an abundant number, since it is smaller than the sum of its proper divisors (1440074268152).

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

985161468880 is a wasteful number, since it uses less digits than its factorization.

985161468880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724383463 (or 724383457 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 64.

The spelling of 985161468880 in words is "nine hundred eighty-five billion, one hundred sixty-one million, four hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 724383433 1448766866 2897533732 3621917165 5795067464 7243834330 11590134928 12314518361 14487668660 24629036722 28975337320 49258073444 57950674640 61572591805 98516146888 123145183610 197032293776 246290367220 492580734440 985161468880