Search a number
-
+
36805186132 = 2211213231971291
BaseRepresentation
bin100010010001110000…
…101001001001010100
310112000000110011202221
4202101300221021110
51100334111424012
624524050512124
72442031630441
oct422160511124
9115000404687
1036805186132
1114677628100
127171b95644
13361720b460
141ad21729c8
15e562b0507
hex891c29254

36805186132 has 144 divisors (see below), whose sum is σ = 80023337856. Its totient is φ = 14684947200.

The previous prime is 36805186097. The next prime is 36805186141. The reversal of 36805186132 is 23168150863.

It is a super-2 number, since 2×368051861322 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28508407 + ... + 28509697.

It is an arithmetic number, because the mean of its divisors is an integer number (555717624).

Almost surely, 236805186132 is an apocalyptic number.

It is an amenable number.

36805186132 is an abundant number, since it is smaller than the sum of its proper divisors (43218151724).

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

36805186132 is a wasteful number, since it uses less digits than its factorization.

36805186132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 36805186132 in words is "thirty-six billion, eight hundred five million, one hundred eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 92 121 143 197 242 253 286 299 394 484 506 572 598 788 1012 1196 1291 1573 2167 2561 2582 2783 3146 3289 4334 4531 5122 5164 5566 6292 6578 8668 9062 10244 11132 13156 14201 16783 18124 23837 28171 28402 29693 33566 36179 47674 49841 56342 56804 58903 59386 67132 72358 95348 99682 112684 117806 118772 144716 156211 184613 199364 235612 254327 309881 312422 326623 369226 386009 508654 548251 619762 624844 647933 653246 738452 772018 1017308 1096502 1239524 1295866 1306492 1544036 2030743 2193004 2591732 2797597 3306251 3592853 4061486 4246099 5595194 5849521 6612502 7127263 7185706 8122972 8492198 11190388 11699042 13225004 14254526 14371412 16984396 23398084 28509052 30773567 36368761 46707089 61547134 64344731 72737522 76043773 93414178 123094268 128689462 145475044 152087546 186828356 257378924 304175092 400056371 707792041 800112742 836481503 1415584082 1600225484 1672963006 2831168164 3345926012 9201296533 18402593066 36805186132