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11165001155705 = 5171033127156781
BaseRepresentation
bin1010001001111000110111…
…1011011000010001111001
31110112100211010102212012102
42202132031323120101321
52430411410243440310
635425044122553145
72231434064646365
oct242361573302171
943470733385172
1011165001155705
113615061099401
121303a283687b5
1362cb168355b7
142a856336c2a5
1514566222a8a5
hexa278ded8479

11165001155705 has 16 divisors (see below), whose sum is σ = 14199852159504. Its totient is φ = 8398451005440.

The previous prime is 11165001155701. The next prime is 11165001155717. The reversal of 11165001155705 is 50755110056111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1295080416256 + 9869920739449 = 1138016^2 + 3141643^2 .

It is not a de Polignac number, because 11165001155705 - 22 = 11165001155701 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11165001155701) 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 15 ways as a sum of consecutive naturals, for example, 63490586 + ... + 63666195.

It is an arithmetic number, because the mean of its divisors is an integer number (887490759969).

Almost surely, 211165001155705 is an apocalyptic number.

It is an amenable number.

11165001155705 is a deficient number, since it is larger than the sum of its proper divisors (3034851003799).

11165001155705 is a wasteful number, since it uses less digits than its factorization.

11165001155705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127157836.

The product of its (nonzero) digits is 26250, while the sum is 38.

The spelling of 11165001155705 in words is "eleven trillion, one hundred sixty-five billion, one million, one hundred fifty-five thousand, seven hundred five".

Divisors: 1 5 17 85 1033 5165 17561 87805 127156781 635783905 2161665277 10808326385 131352954773 656764773865 2233000231141 11165001155705