Search a number
-
+
146633665403665 = 511191331871053551
BaseRepresentation
bin100001010101110011001111…
…100010011101101100010001
3201020012001010021000211221001
4201111303033202131230101
5123204421221320404130
61235510324222502001
742612634631620216
oct4125631742355421
9636161107024831
10146633665403665
11427a3a96430250
1214542705a34901
1363a865929259b
14282d170501b0d
1511e4428aeb6ca
hex855ccf89db11

146633665403665 has 32 divisors (see below), whose sum is σ = 202061496637440. Its totient is φ = 101029039416000.

The previous prime is 146633665403651. The next prime is 146633665403713. The reversal of 146633665403665 is 566304566336641.

It is a happy number.

146633665403665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146633665403665 - 217 = 146633665272593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146633665403597 and 146633665403606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138653640 + ... + 139707190.

It is an arithmetic number, because the mean of its divisors is an integer number (6314421769920).

Almost surely, 2146633665403665 is an apocalyptic number.

It is an amenable number.

146633665403665 is a deficient number, since it is larger than the sum of its proper divisors (55427831233775).

146633665403665 is a wasteful number, since it uses less digits than its factorization.

146633665403665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186773.

The product of its (nonzero) digits is 503884800, while the sum is 64.

The spelling of 146633665403665 in words is "one hundred forty-six trillion, six hundred thirty-three billion, six hundred sixty-five million, four hundred three thousand, six hundred sixty-five".

Divisors: 1 5 11 19 55 95 209 1045 133187 665935 1053551 1465057 2530553 5267755 7325285 11589061 12652765 20017469 27836083 57945305 100087345 139180415 220192159 1100960795 140319297037 701596485185 1543512267407 2666066643703 7717561337035 13330333218515 29326733080733 146633665403665