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4796160768 = 283374172
BaseRepresentation
bin1000111011101111…
…11001101100000000
3110101020211012201000
410131313321230000
534310304121033
62111530212000
7226565460000
oct43567715400
913336735630
104796160768
112041342633
12b1a284000
135b585bc69
14336da0000
151d10dea13
hex11ddf9b00

4796160768 has 540 divisors, whose sum is σ = 17576499080. Its totient is φ = 1289723904.

The previous prime is 4796160757. The next prime is 4796160781. The reversal of 4796160768 is 8670616974.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4796160768 is a `hidden beast` number, since 479 + 6 + 160 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×47961607682 = 46006316225004699648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 282127096 + ... + 282127112.

Almost surely, 24796160768 is an apocalyptic number.

4796160768 is a gapful number since it is divisible by the number (48) 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 4796160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788249540).

4796160768 is an abundant number, since it is smaller than the sum of its proper divisors (12780338312).

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

4796160768 is an frugal number, since it uses more digits than its factorization.

4796160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4796160768 is about 69254.3194898340. The cubic root of 4796160768 is about 1686.4154698546.

The spelling of 4796160768 in words is "four billion, seven hundred ninety-six million, one hundred sixty thousand, seven hundred sixty-eight".