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5707892736 = 211327134183
BaseRepresentation
bin1010101000011011…
…11000100000000000
3112201210101222211200
411110031320200000
543142210031421
62342215541200
7261306200460
oct52415704000
915653358750
105707892736
112469a58327
12113368a800
136cc702630
143c20d1ba0
15236187726
hex154378800

5707892736 has 576 divisors, whose sum is σ = 21035064960. Its totient is φ = 1450967040.

The previous prime is 5707892731. The next prime is 5707892821. The reversal of 5707892736 is 6372987075.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (5707892731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68769751 + ... + 68769833.

It is an arithmetic number, because the mean of its divisors is an integer number (36519210).

Almost surely, 25707892736 is an apocalyptic number.

5707892736 is a gapful number since it is divisible by the number (56) 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 5707892736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10517532480).

5707892736 is an abundant number, since it is smaller than the sum of its proper divisors (15327172224).

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

5707892736 is a wasteful number, since it uses less digits than its factorization.

5707892736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 5707892736 is about 75550.5971915510. The cubic root of 5707892736 is about 1787.1401057173.

The spelling of 5707892736 in words is "five billion, seven hundred seven million, eight hundred ninety-two thousand, seven hundred thirty-six".