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18143408402065 = 5293716692026249
BaseRepresentation
bin1000010000000010101110…
…11010011010111010010001
32101020111022022211022002101
410020001113122122322101
54334230200022331230
6102330544452520401
73551550400563232
oct410012732327221
971214268738071
1018143408402065
115865638055301
122050392920101
13a17bba7b990b
1446a207953089
15216e41e41aca
hex10805769ae91

18143408402065 has 32 divisors (see below), whose sum is σ = 23145448500000. Its totient is φ = 13627279669248.

The previous prime is 18143408402059. The next prime is 18143408402081. The reversal of 18143408402065 is 56020480434181.

It is a Cunningham number, because it is equal to 42595082+1.

It can be written as a sum of positive squares in 16 ways, for example, as 3273754659904 + 14869653742161 = 1809352^2 + 3856119^2 .

It is a cyclic number.

It is not a de Polignac number, because 18143408402065 - 217 = 18143408270993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7941061 + ... + 9967309.

It is an arithmetic number, because the mean of its divisors is an integer number (723295265625).

Almost surely, 218143408402065 is an apocalyptic number.

It is an amenable number.

18143408402065 is a deficient number, since it is larger than the sum of its proper divisors (5002040097935).

18143408402065 is a wasteful number, since it uses less digits than its factorization.

18143408402065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027989.

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 18143408402065 in words is "eighteen trillion, one hundred forty-three billion, four hundred eight million, four hundred two thousand, sixty-five".

Divisors: 1 5 29 37 145 185 1073 1669 5365 8345 48401 61753 242005 308765 1790837 2026249 8954185 10131245 58761221 74971213 293806105 374856065 2174165177 3381809581 10870825885 16909047905 98072477849 125126954497 490362389245 625634772485 3628681680413 18143408402065