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4856640768 = 2835719587
BaseRepresentation
bin1001000010111101…
…00111010100000000
3110112110121220200000
410201132213110000
534421300001033
62121530400000
7231231523350
oct44136472400
913473556600
104856640768
1120724a1101
12b36590000
135c5246545
14341024b60
151d6589a13
hex1217a7500

4856640768 has 432 divisors, whose sum is σ = 17499256320. Its totient is φ = 1312339968.

The previous prime is 4856640703. The next prime is 4856640781. The reversal of 4856640768 is 8670466584.

4856640768 is a `hidden beast` number, since 4 + 8 + 566 + 4 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8273371 + ... + 8273957.

Almost surely, 24856640768 is an apocalyptic number.

4856640768 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 4856640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749628160).

4856640768 is an abundant number, since it is smaller than the sum of its proper divisors (12642615552).

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

4856640768 is an equidigital number, since it uses as much as digits as its factorization.

4856640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 4856640768 is about 69689.6030122141. The cubic root of 4856640768 is about 1693.4744955720.

The spelling of 4856640768 in words is "four billion, eight hundred fifty-six million, six hundred forty thousand, seven hundred sixty-eight".