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816418430442 = 2345039619941
BaseRepresentation
bin10111110000101100101…
…01001001110111101010
32220001022121022102110000
423320112111021313222
5101334011104233232
61423020224203430
7112661416105116
oct13702625116752
92801277272400
10816418430442
11295271a1357a
12112288a69576
135bcac628084
142b72cad8746
15163848dc27c
hexbe16549dea

816418430442 has 20 divisors (see below), whose sum is σ = 1829382038946. Its totient is φ = 272139476760.

The previous prime is 816418430413. The next prime is 816418430447. The reversal of 816418430442 is 244034814618.

816418430442 is a `hidden beast` number, since 8 + 164 + 1 + 8 + 43 + 0 + 442 = 666.

It can be written as a sum of positive squares in only one way, i.e., 734245048161 + 82173382281 = 856881^2 + 286659^2 .

It is not an unprimeable number, because it can be changed into a prime (816418430447) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2519809809 + ... + 2519810132.

Almost surely, 2816418430442 is an apocalyptic number.

816418430442 is an abundant number, since it is smaller than the sum of its proper divisors (1012963608504).

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

816418430442 is a wasteful number, since it uses less digits than its factorization.

816418430442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039619955 (or 5039619946 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 816418430442 in words is "eight hundred sixteen billion, four hundred eighteen million, four hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 5039619941 10079239882 15118859823 30237719646 45356579469 90713158938 136069738407 272139476814 408209215221 816418430442