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13182435940 = 225659121797
BaseRepresentation
bin11000100011011110…
…00000001001100100
31021000201002010112011
430101233000021210
5203444200422230
610020025204004
7644446566562
oct142157001144
937021063464
1013182435940
115655161263
12267a930604
13132111956b
148d0a98a32
1552248be2a
hex311bc0264

13182435940 has 12 divisors (see below), whose sum is σ = 27683115516. Its totient is φ = 5272974368.

The previous prime is 13182435869. The next prime is 13182435941. The reversal of 13182435940 is 4953428131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8211621924 + 4970814016 = 90618^2 + 70504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13182435893 and 13182435902.

It is not an unprimeable number, because it can be changed into a prime (13182435941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329560879 + ... + 329560918.

It is an arithmetic number, because the mean of its divisors is an integer number (2306926293).

Almost surely, 213182435940 is an apocalyptic number.

13182435940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13182435940 is an abundant number, since it is smaller than the sum of its proper divisors (14500679576).

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

13182435940 is a wasteful number, since it uses less digits than its factorization.

13182435940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659121806 (or 659121804 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 13182435940 in words is "thirteen billion, one hundred eighty-two million, four hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 659121797 1318243594 2636487188 3295608985 6591217970 13182435940