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46500061133 = 378914120881
BaseRepresentation
bin101011010011100111…
…101001111111001101
311110000200001212002102
4223103213221333031
51230213003424013
633210053404445
73234212666231
oct532347517715
9143020055072
1046500061133
11187a2088199
129018939725
134500925196
14237198a5c1
15132249ad58
hexad39e9fcd

46500061133 has 8 divisors (see below), whose sum is σ = 48293416440. Its totient is φ = 44734947840.

The previous prime is 46500061123. The next prime is 46500061171. The reversal of 46500061133 is 33116000564.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17660549449 + 28839511684 = 132893^2 + 169822^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 46500061133 - 28 = 46500060877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46500061096 and 46500061105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46500061123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7057148 + ... + 7063733.

It is an arithmetic number, because the mean of its divisors is an integer number (6036677055).

Almost surely, 246500061133 is an apocalyptic number.

It is an amenable number.

46500061133 is a deficient number, since it is larger than the sum of its proper divisors (1793355307).

46500061133 is a wasteful number, since it uses less digits than its factorization.

46500061133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14121007.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 46500061133 its reverse (33116000564), we get a palindrome (79616061697).

The spelling of 46500061133 in words is "forty-six billion, five hundred million, sixty-one thousand, one hundred thirty-three".

Divisors: 1 37 89 3293 14120881 522472597 1256758409 46500061133