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268666686666862 = 21133491204924001
BaseRepresentation
bin111101000101100111010110…
…011010111111100001101110
31022020021021200022222201011121
4331011213112122333201232
5240203313333241314422
62351223434425011154
7110406345644534011
oct7505472632774156
91266237608881147
10268666686666862
11786729a1552000
12261714a1923aba
13b6bb2102362c3
144a4b773809378
15210d9851ec8c7
hexf459d66bf86e

268666686666862 has 64 divisors (see below), whose sum is σ = 444595286520000. Its totient is φ = 121756124160000.

The previous prime is 268666686666811. The next prime is 268666686666893.

268666686666862 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11193966862 + ... + 11193990862.

It is an arithmetic number, because the mean of its divisors is an integer number (6946801351875).

Almost surely, 2268666686666862 is an apocalyptic number.

268666686666862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

268666686666862 is a deficient number, since it is larger than the sum of its proper divisors (175928599853138).

268666686666862 is a wasteful number, since it uses less digits than its factorization.

268666686666862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36434 (or 36412 counting only the distinct ones).

The product of its digits is 123834728448, while the sum is 88.

The spelling of 268666686666862 in words is "two hundred sixty-eight trillion, six hundred sixty-six billion, six hundred eighty-six million, six hundred sixty-six thousand, eight hundred sixty-two".

Divisors: 1 2 11 22 121 242 349 698 1331 2662 3839 7678 12049 24001 24098 42229 48002 84458 132539 264011 265078 464519 528022 929038 1457929 2904121 2915858 4205101 5808242 8376349 8410202 16037219 16752698 31945331 32074438 46256111 63890662 92139839 92512222 184279678 289188049 508817221 578376098 1013538229 1017634442 2027076458 3181068539 5596989431 6362137078 11148920519 11193978862 22297841038 34991753929 69983507858 100926629101 201853258202 384909293219 769818586438 1110192920111 2220385840222 12212122121221 24424244242442 134333343333431 268666686666862