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1005106555166 = 27521137799089
BaseRepresentation
bin11101010000001010000…
…01001110100100011110
310120002100121022022020212
432220011001032210132
5112431424234231131
62045423425412422
7132421322516660
oct16500501164436
93502317268225
101005106555166
113582994a141a
1214296819a112
1373a2022480c
143690c724530
151b229c19a2b
hexea0504e91e

1005106555166 has 16 divisors (see below), whose sum is σ = 1726346999520. Its totient is φ = 429933154560.

The previous prime is 1005106555139. The next prime is 1005106555241. The reversal of 1005106555166 is 6615556015001.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68892251 + ... + 68906838.

It is an arithmetic number, because the mean of its divisors is an integer number (107896687470).

Almost surely, 21005106555166 is an apocalyptic number.

1005106555166 is a deficient number, since it is larger than the sum of its proper divisors (721240444354).

1005106555166 is a wasteful number, since it uses less digits than its factorization.

1005106555166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137799619.

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 1005106555166 in words is "one trillion, five billion, one hundred six million, five hundred fifty-five thousand, one hundred sixty-six".

Divisors: 1 2 7 14 521 1042 3647 7294 137799089 275598178 964593623 1929187246 71793325369 143586650738 502553277583 1005106555166