Search a number
-
+
218286439982464 = 2771072276852887
BaseRepresentation
bin110001101000011111000101…
…101101101110010110000000
31001121212222110022121110220111
4301220133011231232112000
5212102401112113414324
62052131223421321104
763656450321453140
oct6150370555562600
91047788408543814
10218286439982464
1163609839721a37
122059545b106194
1394a542772b429
143bc919766c920
151a381e7e33794
hexc687c5b6e580

218286439982464 has 64 divisors (see below), whose sum is σ = 501636228284160. Its totient is φ = 92677019871744.

The previous prime is 218286439982459. The next prime is 218286439982467. The reversal of 218286439982464 is 464289934682812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2182864399824642 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218286439982467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1138330572 + ... + 1138522315.

It is an arithmetic number, because the mean of its divisors is an integer number (7838066066940).

Almost surely, 2218286439982464 is an apocalyptic number.

It is an amenable number.

218286439982464 is an abundant number, since it is smaller than the sum of its proper divisors (283349788301696).

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

218286439982464 is a wasteful number, since it uses less digits than its factorization.

218286439982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276853015 (or 2276853003 counting only the distinct ones).

The product of its digits is 2293235712, while the sum is 76.

The spelling of 218286439982464 in words is "two hundred eighteen trillion, two hundred eighty-six billion, four hundred thirty-nine million, nine hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 214 224 428 448 749 856 896 1498 1712 2996 3424 5992 6848 11984 13696 23968 47936 95872 2276852887 4553705774 9107411548 15937970209 18214823096 31875940418 36429646192 63751880836 72859292384 127503761672 145718584768 243623258909 255007523344 291437169536 487246517818 510015046688 974493035636 1020030093376 1705362812363 1948986071272 2040060186752 3410725624726 3897972142544 6821451249452 7795944285088 13642902498904 15591888570176 27285804997808 31183777140352 54571609995616 109143219991232 218286439982464