Search a number
-
+
11629145946 = 2311414297541
BaseRepresentation
bin10101101010010011…
…01010111101011010
31010000110021211020010
422311021222331122
5142304030132241
65201540542350
7561116052405
oct126511527532
933013254203
1011629145946
114a28393520
1223066b19b6
131134389562
147c4682d3c
15480e17d16
hex2b526af5a

11629145946 has 32 divisors (see below), whose sum is σ = 25991534016. Its totient is φ = 3438032000.

The previous prime is 11629145873. The next prime is 11629145977. The reversal of 11629145946 is 64954192611.

11629145946 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11629145895 and 11629145904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146065 + ... + 2151476.

It is an arithmetic number, because the mean of its divisors is an integer number (812235438).

Almost surely, 211629145946 is an apocalyptic number.

11629145946 is an abundant number, since it is smaller than the sum of its proper divisors (14362388070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11629145946 is a wasteful number, since it uses less digits than its factorization.

11629145946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297598.

The product of its digits is 466560, while the sum is 48.

The spelling of 11629145946 in words is "eleven billion, six hundred twenty-nine million, one hundred forty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 4297541 8595082 12892623 25785246 47272951 94545902 141818853 176199181 283637706 352398362 528597543 1057195086 1938190991 3876381982 5814572973 11629145946