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4807664640 = 2103251011033
BaseRepresentation
bin1000111101000111…
…10010010000000000
3110102001110200001100
410132203302100000
534321230232030
62113020534400
7230065321662
oct43643622000
913361420040
104807664640
11204788a669
12b220b1400
135b805919c
14338716532
151d2113360
hex11e8f2400

4807664640 has 264 divisors, whose sum is σ = 16839653688. Its totient is φ = 1268121600.

The previous prime is 4807664627. The next prime is 4807664669. The reversal of 4807664640 is 464667084.

4807664640 is a `hidden beast` number, since 480 + 76 + 64 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3015327744 + 1792336896 = 54912^2 + 42336^2 .

It is a super-3 number, since 3×48076646403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4653564 + ... + 4654596.

It is an arithmetic number, because the mean of its divisors is an integer number (63786567).

Almost surely, 24807664640 is an apocalyptic number.

4807664640 is a gapful number since it is divisible by the number (40) 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 4807664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419826844).

4807664640 is an abundant number, since it is smaller than the sum of its proper divisors (12031989048).

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

4807664640 is a wasteful number, since it uses less digits than its factorization.

4807664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4807664640 is about 69337.3250133000. The cubic root of 4807664640 is about 1687.7627153115.

The spelling of 4807664640 in words is "four billion, eight hundred seven million, six hundred sixty-four thousand, six hundred forty".