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3920400011 = 116739713399
BaseRepresentation
bin1110100110101100…
…1000111010001011
3101010012220221210102
43221223020322023
531012110300021
61445003440015
7166102564433
oct35153107213
911105827712
103920400011
111731a66610
12914b2600b
134a62a1428
142929532c3
1517e2a000b
hexe9ac8e8b

3920400011 has 16 divisors (see below), whose sum is σ = 4351891200. Its totient is φ = 3501701280.

The previous prime is 3920400007. The next prime is 3920400013. The reversal of 3920400011 is 1100040293.

3920400011 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3920400011 - 22 = 3920400007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3920400013) 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, 285890 + ... + 299288.

It is an arithmetic number, because the mean of its divisors is an integer number (271993200).

Almost surely, 23920400011 is an apocalyptic number.

3920400011 is a deficient number, since it is larger than the sum of its proper divisors (431491189).

3920400011 is a wasteful number, since it uses less digits than its factorization.

3920400011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 3920400011 is about 62613.0977591750. The cubic root of 3920400011 is about 1576.8006631232.

The spelling of 3920400011 in words is "three billion, nine hundred twenty million, four hundred thousand, eleven".

Divisors: 1 11 67 397 737 4367 13399 26599 147389 292589 897733 5319403 9875063 58513433 356400001 3920400011