Search a number
-
+
406051101666111 = 311293120134966819
BaseRepresentation
bin101110001010011010010001…
…1101011001110101100111111
31222020201002212102121021110110
41130110310203223032230333
5411210220124011303421
63555333145000041103
7151346136554302026
oct13424644353165477
91866632772537413
10406051101666111
1110842033a184160
123965b510463193
13145755ba9626b5
14723ad9a1bb8bd
1531e24c3520a76
hex1714d23aceb3f

406051101666111 has 32 divisors (see below), whose sum is σ = 593129020135680. Its totient is φ = 245047460544000.

The previous prime is 406051101666043. The next prime is 406051101666127. The reversal of 406051101666111 is 111666101150604.

It is not a de Polignac number, because 406051101666111 - 27 = 406051101665983 is a prime.

It is a super-2 number, since 2×4060511016661112 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406051101666111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406051101666011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5870941 + ... + 29095878.

It is an arithmetic number, because the mean of its divisors is an integer number (18535281879240).

Almost surely, 2406051101666111 is an apocalyptic number.

406051101666111 is a deficient number, since it is larger than the sum of its proper divisors (187077918469569).

406051101666111 is a wasteful number, since it uses less digits than its factorization.

406051101666111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34968327.

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 406051101666111 in words is "four hundred six trillion, fifty-one billion, one hundred one million, six hundred sixty-six thousand, one hundred eleven".

Divisors: 1 3 11 33 293 879 1201 3223 3603 9669 13211 39633 351893 1055679 3870823 11612469 34966819 104900457 384635009 1153905027 10245277967 30735833901 41995149619 112698057637 125985448857 338094172911 461946645809 1385839937427 12304578838367 36913736515101 135350367222037 406051101666111