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5357913120 = 2532571731267
BaseRepresentation
bin1001111110101101…
…10100010000100000
3111211101212012001200
410333112310100200
541433111204440
62243354401200
7246526336650
oct47726642040
914741765050
105357913120
1122aa44747a
121056430200
136750557c1
1438b82c360
152155a4c30
hex13f5b4420

5357913120 has 288 divisors, whose sum is σ = 22125737088. Its totient is φ = 1152589824.

The previous prime is 5357913107. The next prime is 5357913139. The reversal of 5357913120 is 213197535.

5357913120 is a `hidden beast` number, since 53 + 579 + 1 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 155727 + ... + 186993.

It is an arithmetic number, because the mean of its divisors is an integer number (76825476).

Almost surely, 25357913120 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 5357913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11062868544).

5357913120 is an abundant number, since it is smaller than the sum of its proper divisors (16767823968).

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

5357913120 is a wasteful number, since it uses less digits than its factorization.

5357913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31312 (or 31301 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5357913120 is about 73197.7671790609. The cubic root of 5357913120 is about 1749.8408693399.

The spelling of 5357913120 in words is "five billion, three hundred fifty-seven million, nine hundred thirteen thousand, one hundred twenty".