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3827054005093 = 111731660178369
BaseRepresentation
bin110111101100001110001…
…100011100101101100101
3111112212021222021212112101
4313230032030130231211
51000200301311130333
612050042505052101
7543331652210404
oct67541614345545
914485258255471
103827054005093
11124605423a970
12519860787031
13219b747184c7
14d333231b63b
156983cbd767d
hex37b0e31cb65

3827054005093 has 16 divisors (see below), whose sum is σ = 4563152893440. Its totient is φ = 3168856166400.

The previous prime is 3827054005087. The next prime is 3827054005129. The reversal of 3827054005093 is 3905004507283.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3827054005093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827054005013) 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, 330083388 + ... + 330094981.

It is an arithmetic number, because the mean of its divisors is an integer number (285197055840).

Almost surely, 23827054005093 is an apocalyptic number.

It is an amenable number.

3827054005093 is a deficient number, since it is larger than the sum of its proper divisors (736098888347).

3827054005093 is a wasteful number, since it uses less digits than its factorization.

3827054005093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660178428.

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 3827054005093 in words is "three trillion, eight hundred twenty-seven billion, fifty-four million, five thousand, ninety-three".

Divisors: 1 11 17 31 187 341 527 5797 660178369 7261962059 11223032273 20465529439 123453355003 225120823829 347914000463 3827054005093