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5795712000 = 21034531343
BaseRepresentation
bin1010110010111001…
…11000110000000000
3112221220122200020000
411121130320300000
543332200241000
62355034120000
7263423511351
oct53134706000
915856580200
105795712000
11250458a231
121158b80000
1371496cab0
143cda31d28
1523dc33000
hex159738c00

5795712000 has 880 divisors, whose sum is σ = 23801729952. Its totient is φ = 1393459200.

The previous prime is 5795711993. The next prime is 5795712011. The reversal of 5795712000 is 2175975.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 134783979 + ... + 134784021.

Almost surely, 25795712000 is an apocalyptic number.

5795712000 is a gapful number since it is divisible by the number (50) 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 5795712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900864976).

5795712000 is an abundant number, since it is smaller than the sum of its proper divisors (18006017952).

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

5795712000 is a wasteful number, since it uses less digits than its factorization.

5795712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 5795712000 is about 76129.5737542251. The cubic root of 5795712000 is about 1796.2588965786.

Adding to 5795712000 its reverse (2175975), we get a palindrome (5797887975).

The spelling of 5795712000 in words is "five billion, seven hundred ninety-five million, seven hundred twelve thousand".