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10575034406805 = 3511312067455407
BaseRepresentation
bin1001100111100011000100…
…1010110101011110010101
31101102222000022220202202210
42121320301022311132111
52341230132302004210
634254034224024033
72141010132222321
oct231706112653625
941388008822683
1010575034406805
113407935260970
121229619762019
135b92b573827b
14287b97824981
15135133137e20
hex99e312b5795

10575034406805 has 32 divisors (see below), whose sum is σ = 19053669040128. Its totient is φ = 4961892974400.

The previous prime is 10575034406723. The next prime is 10575034406821. The reversal of 10575034406805 is 50860443057501.

It is not a de Polignac number, because 10575034406805 - 234 = 10557854537621 is a prime.

It is a super-2 number, since 2×105750344068052 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1033722589 + ... + 1033732818.

It is an arithmetic number, because the mean of its divisors is an integer number (595427157504).

Almost surely, 210575034406805 is an apocalyptic number.

10575034406805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10575034406805 is a deficient number, since it is larger than the sum of its proper divisors (8478634633323).

10575034406805 is a wasteful number, since it uses less digits than its factorization.

10575034406805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067455457.

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 10575034406805 in words is "ten trillion, five hundred seventy-five billion, thirty-four million, four hundred six thousand, eight hundred five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 5115 2067455407 6202366221 10337277035 22742009477 31011831105 64091117617 68226028431 113710047385 192273352851 320455588085 341130142155 705002293787 961366764255 2115006881361 3525011468935 10575034406805