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933682093353 = 32106197777997
BaseRepresentation
bin11011001011000111100…
…10100001110100101001
310022020222220120201010100
431211203302201310221
5110244140103441403
61552532211340013
7124312340563302
oct15454362416451
93266886521110
10933682093353
1132aa77223089
12130b542b1609
136a079945469
143329486d7a9
15194495312a3
hexd963ca1d29

933682093353 has 12 divisors (see below), whose sum is σ = 1349923040388. Its totient is φ = 621868054560.

The previous prime is 933682093321. The next prime is 933682093361. The reversal of 933682093353 is 353390286339.

933682093353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 749033128089 + 184648965264 = 865467^2 + 429708^2 .

It is not a de Polignac number, because 933682093353 - 25 = 933682093321 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 933682093353.

It is not an unprimeable number, because it can be changed into a prime (933682093313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48879450 + ... + 48898547.

It is an arithmetic number, because the mean of its divisors is an integer number (112493586699).

Almost surely, 2933682093353 is an apocalyptic number.

It is an amenable number.

933682093353 is a deficient number, since it is larger than the sum of its proper divisors (416240947035).

933682093353 is a wasteful number, since it uses less digits than its factorization.

933682093353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97779064 (or 97779061 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 933682093353 in words is "nine hundred thirty-three billion, six hundred eighty-two million, ninety-three thousand, three hundred fifty-three".

Divisors: 1 3 9 1061 3183 9549 97777997 293333991 880001973 103742454817 311227364451 933682093353