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2543664420 = 22325112116789
BaseRepresentation
bin1001011110011101…
…0011110100100100
320120021100112121100
42113213103310210
520202134230140
61100223320100
7120014535153
oct22747236444
96507315540
102543664420
111095917800
125aba50030
13316ca9b9b
141a1b7959a
15ed4a3530
hex979d3d24

2543664420 has 108 divisors (see below), whose sum is σ = 8481056220. Its totient is φ = 616640640.

The previous prime is 2543664407. The next prime is 2543664427. The reversal of 2543664420 is 244663452.

2543664420 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 6 + 644 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 310534884 + 2233129536 = 17622^2 + 47256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2543664427) 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 35 ways as a sum of consecutive naturals, for example, 36615 + ... + 80174.

Almost surely, 22543664420 is an apocalyptic number.

2543664420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2543664420 is an abundant number, since it is smaller than the sum of its proper divisors (5937391800).

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

2543664420 is a wasteful number, since it uses less digits than its factorization.

2543664420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116826 (or 116810 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2543664420 is about 50434.7540888225. The cubic root of 2543664420 is about 1365.0648119610.

The spelling of 2543664420 in words is "two billion, five hundred forty-three million, six hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 116789 233578 350367 467156 583945 700734 1051101 1167890 1284679 1401468 1751835 2102202 2335780 2569358 3503670 3854037 4204404 5138716 5255505 6423395 7007340 7708074 10511010 11562111 12846790 14131469 15416148 19270185 21022020 23124222 25693580 28262938 38540370 42394407 46248444 56525876 57810555 70657345 77080740 84788814 115621110 127183221 141314690 169577628 211972035 231242220 254366442 282629380 423944070 508732884 635916105 847888140 1271832210 2543664420