Search a number
-
+
46646381133 = 32114111492087
BaseRepresentation
bin101011011100010101…
…110100101001001101
311110101212101200101200
4223130111310221031
51231012433144013
633232401500113
73240640461162
oct533425645115
9143355350350
1046646381133
1118867736610
129059941639
134525036071
142387198069
15133024ee73
hexadc574a4d

46646381133 has 24 divisors (see below), whose sum is σ = 75296160576. Its totient is φ = 27581006400.

The previous prime is 46646381113. The next prime is 46646381143. The reversal of 46646381133 is 33118364664.

46646381133 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 638 + 1 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 46646381133 - 26 = 46646381069 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46646381113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5741985 + ... + 5750102.

It is an arithmetic number, because the mean of its divisors is an integer number (3137340024).

Almost surely, 246646381133 is an apocalyptic number.

It is an amenable number.

46646381133 is a deficient number, since it is larger than the sum of its proper divisors (28649779443).

46646381133 is a wasteful number, since it uses less digits than its factorization.

46646381133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11492145 (or 11492142 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 46646381133 in words is "forty-six billion, six hundred forty-six million, three hundred eighty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 11492087 34476261 103428783 126412957 379238871 471175567 1137716613 1413526701 4240580103 5182931237 15548793711 46646381133