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13828600422 = 2347132591223
BaseRepresentation
bin11001110000011111…
…11011001001100110
31022200201221200120000
430320033323021212
5211310110203142
610204110522130
7666454110210
oct147017731146
938621850500
1013828600422
11595698019a
12281b206346
1313c4c59800
1495281b5b0
1555e07814c
hex3383fb266

13828600422 has 240 divisors, whose sum is σ = 39028366080. Its totient is φ = 3582356544.

The previous prime is 13828600421. The next prime is 13828600433. The reversal of 13828600422 is 22400682831.

13828600422 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 8 + 600 + 42 + 2 = 666.

It is a super-3 number, since 3×138286004223 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828600421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11306503 + ... + 11307725.

It is an arithmetic number, because the mean of its divisors is an integer number (162618192).

Almost surely, 213828600422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13828600422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514183040).

13828600422 is an abundant number, since it is smaller than the sum of its proper divisors (25199765658).

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

13828600422 is a wasteful number, since it uses less digits than its factorization.

13828600422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13828600422 in words is "thirteen billion, eight hundred twenty-eight million, six hundred thousand, four hundred twenty-two".