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2387968986 = 231324171809
BaseRepresentation
bin1000111001010101…
…1000001111011010
320011102101101121210
42032111120033122
514342310001421
61032542243550
7113114254464
oct21625301732
96142341553
102387968986
111015a45497
125678865b6
132c0965800
1418920b134
15de99b576
hex8e5583da

2387968986 has 96 divisors (see below), whose sum is σ = 5378970240. Its totient is φ = 705868800.

The previous prime is 2387968939. The next prime is 2387968993. The reversal of 2387968986 is 6898697832.

2387968986 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2951350 + ... + 2952158.

It is an arithmetic number, because the mean of its divisors is an integer number (56030940).

Almost surely, 22387968986 is an apocalyptic number.

2387968986 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2387968986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689485120).

2387968986 is an abundant number, since it is smaller than the sum of its proper divisors (2991001254).

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

2387968986 is a wasteful number, since it uses less digits than its factorization.

2387968986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 939 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 66.

The square root of 2387968986 is about 48866.8495608219. The cubic root of 2387968986 is about 1336.6249410659.

The spelling of 2387968986 in words is "two billion, three hundred eighty-seven million, nine hundred sixty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 13 26 39 41 71 78 82 123 142 169 213 246 338 426 507 533 809 923 1014 1066 1599 1618 1846 2427 2769 2911 3198 4854 5538 5822 6929 8733 10517 11999 13858 17466 20787 21034 23998 31551 33169 35997 37843 41574 57439 63102 66338 71994 75686 99507 113529 114878 136721 172317 199014 227058 273442 344634 410163 431197 491959 746707 820326 862394 983918 1293591 1475877 1493414 2240121 2354999 2587182 2951754 4480242 4709998 5605561 7064997 9707191 11211122 14129994 16816683 19414382 29121573 30614987 33633366 58243146 61229974 91844961 183689922 397994831 795989662 1193984493 2387968986