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799381916928 = 28337211320887
BaseRepresentation
bin10111010000111101110…
…00000000110100000000
32211102100022002212102000
423220132320000310000
5101044113232320203
61411121520424000
7111516300116400
oct13503670006400
92742308085360
10799381916928
1128901a285841
1210ab13478000
135a4c5bbc04a
142a994232800
1515bd8e014a3
hexba1ee00d00

799381916928 has 432 divisors, whose sum is σ = 2774325778560. Its totient is φ = 226362802176.

The previous prime is 799381916897. The next prime is 799381916933. The reversal of 799381916928 is 829619183997.

799381916928 is a `hidden beast` number, since 79 + 9 + 381 + 91 + 6 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×7993819169282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38261301 + ... + 38282187.

Almost surely, 2799381916928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799381916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387162889280).

799381916928 is an abundant number, since it is smaller than the sum of its proper divisors (1974943861632).

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

799381916928 is a wasteful number, since it uses less digits than its factorization.

799381916928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21039 (or 21012 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 72.

The spelling of 799381916928 in words is "seven hundred ninety-nine billion, three hundred eighty-one million, nine hundred sixteen thousand, nine hundred twenty-eight".