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16343000034361 = 71113149109574989
BaseRepresentation
bin1110110111010010011010…
…1101100010110000111001
32010212101010202211220102221
43231310212231202300321
54120230431002044421
654431512013124041
73304512530136610
oct355644655426071
963771122756387
1016343000034361
115231033504a50
1219bb471789621
139171a4a93520
14407010c42877
151d51bb620841
hexedd26b62c39

16343000034361 has 32 divisors (see below), whose sum is σ = 22090317984000. Its totient is φ = 11676310721280.

The previous prime is 16343000034359. The next prime is 16343000034377.

16343000034361 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 16343000034361 - 21 = 16343000034359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16343000034311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54638346 + ... + 54936643.

It is an arithmetic number, because the mean of its divisors is an integer number (690322437000).

Almost surely, 216343000034361 is an apocalyptic number.

16343000034361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16343000034361 is a deficient number, since it is larger than the sum of its proper divisors (5747317949639).

16343000034361 is a wasteful number, since it uses less digits than its factorization.

16343000034361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109575169.

The product of its (nonzero) digits is 46656, while the sum is 34.

It can be divided in two parts, 163430000 and 34361, that added together give a palindrome (163464361).

The spelling of 16343000034361 in words is "sixteen trillion, three hundred forty-three billion, thirty-four thousand, three hundred sixty-one".

Divisors: 1 7 11 13 77 91 143 149 1001 1043 1639 1937 11473 13559 21307 149149 109574989 767024923 1205324879 1424474857 8437274153 9971323999 15669223427 16326673361 109684563989 114286713527 179593406971 212246753693 1257153848797 1485727275851 2334714290623 16343000034361