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5357920960 = 265719312131
BaseRepresentation
bin1001111110101101…
…10110001011000000
3111211101212120211001
410333112312023000
541433111432320
62243354501344
7246526401550
oct47726661300
914741776731
105357920960
1122aa452357
121056434854
13675059242
1438b831160
152155a720a
hex13f5b62c0

5357920960 has 336 divisors, whose sum is σ = 15980785920. Its totient is φ = 1671321600.

The previous prime is 5357920943. The next prime is 5357920969. The reversal of 5357920960 is 690297535.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5357920960.

It is not an unprimeable number, because it can be changed into a prime (5357920969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40900095 + ... + 40900225.

Almost surely, 25357920960 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 5357920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990392960).

5357920960 is an abundant number, since it is smaller than the sum of its proper divisors (10622864960).

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

5357920960 is a wasteful number, since it uses less digits than its factorization.

5357920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 46.

The square root of 5357920960 is about 73197.8207325874. The cubic root of 5357920960 is about 1749.8417228281.

The spelling of 5357920960 in words is "five billion, three hundred fifty-seven million, nine hundred twenty thousand, nine hundred sixty".