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10345540047 = 323891684667
BaseRepresentation
bin10011010001010010…
…00110100111001111
3222200222221212221220
421220221012213033
5132141424240142
64430324454423
7514241432223
oct115051064717
928628855856
1010345540047
1144298733a7
12200884a413
13c8b47163b
14701dcc783
154083b52ec
hex268a469cf

10345540047 has 16 divisors (see below), whose sum is σ = 14555531520. Its totient is φ = 6523026752.

The previous prime is 10345540039. The next prime is 10345540061. The reversal of 10345540047 is 74004554301.

10345540047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10345540047 - 23 = 10345540039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345540097) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 836193 + ... + 848474.

It is an arithmetic number, because the mean of its divisors is an integer number (909720720).

Almost surely, 210345540047 is an apocalyptic number.

10345540047 is a deficient number, since it is larger than the sum of its proper divisors (4209991473).

10345540047 is a wasteful number, since it uses less digits than its factorization.

10345540047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684782.

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 10345540047 in words is "ten billion, three hundred forty-five million, five hundred forty thousand, forty-seven".

Divisors: 1 3 23 69 89 267 2047 6141 1684667 5054001 38747341 116242023 149935363 449806089 3448513349 10345540047