Search a number
-
+
13435806984 = 23319103286063
BaseRepresentation
bin11001000001101011…
…00010010100001000
31021200100211201020220
430200311202110020
5210004031310414
610101115550040
7653644321635
oct144065422410
937610751226
1013435806984
115775187716
12272b75b320
13136176c462
149165b118c
15539839ca9
hex320d62508

13435806984 has 64 divisors (see below), whose sum is σ = 35700787200. Its totient is φ = 4201678656.

The previous prime is 13435806977. The next prime is 13435806997. The reversal of 13435806984 is 48960853431.

It is a super-2 number, since 2×134358069842 (a number of 21 digits) contains 22 as substring.

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, 96064 + ... + 189999.

It is an arithmetic number, because the mean of its divisors is an integer number (557824800).

Almost surely, 213435806984 is an apocalyptic number.

It is an amenable number.

13435806984 is an abundant number, since it is smaller than the sum of its proper divisors (22264980216).

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

13435806984 is a wasteful number, since it uses less digits than its factorization.

13435806984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286194 (or 286190 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 13435806984 in words is "thirteen billion, four hundred thirty-five million, eight hundred six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 103 114 152 206 228 309 412 456 618 824 1236 1957 2472 3914 5871 7828 11742 15656 23484 46968 286063 572126 858189 1144252 1716378 2288504 3432756 5435197 6865512 10870394 16305591 21740788 29464489 32611182 43481576 58928978 65222364 88393467 117857956 130444728 176786934 235715912 353573868 559825291 707147736 1119650582 1679475873 2239301164 3358951746 4478602328 6717903492 13435806984