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667134468 = 223471131317
BaseRepresentation
bin100111110000111…
…010101000000100
31201111022221110000
4213300322220010
52331241300333
6150111001300
722350356310
oct4760725004
91644287400
10667134468
11312642000
12167509230
13a82a3030
1464860b40
153d87e713
hex27c3aa04

667134468 has 480 divisors, whose sum is σ = 2499856128. Its totient is φ = 150543360.

The previous prime is 667134463. The next prime is 667134487. The reversal of 667134468 is 864431766.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667134463) 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 159 ways as a sum of consecutive naturals, for example, 39243196 + ... + 39243212.

Almost surely, 2667134468 is an apocalyptic number.

667134468 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667134468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249928064).

667134468 is an abundant number, since it is smaller than the sum of its proper divisors (1832721660).

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

667134468 is a wasteful number, since it uses less digits than its factorization.

667134468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 667134468 is about 25828.9463199721. The cubic root of 667134468 is about 873.7847480148.

The spelling of 667134468 in words is "six hundred sixty-seven million, one hundred thirty-four thousand, four hundred sixty-eight".