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4615114640 = 245269214457
BaseRepresentation
bin1000100110001010…
…10000111110010000
3102220122011010002212
410103011100332100
533422432132030
62041541531252
7222236553503
oct42305207620
912818133085
104615114640
111a59125a34
12a89713b28
135871acb86
1431ad1313a
151c027b595
hex113150f90

4615114640 has 40 divisors (see below), whose sum is σ = 10770080760. Its totient is φ = 1839174656.

The previous prime is 4615114613. The next prime is 4615114643. The reversal of 4615114640 is 464115164.

It can be written as a sum of positive squares in 4 ways, for example, as 561500416 + 4053614224 = 23696^2 + 63668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4615114597 and 4615114606.

It is not an unprimeable number, because it can be changed into a prime (4615114643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 85709 + ... + 128748.

It is an arithmetic number, because the mean of its divisors is an integer number (269252019).

Almost surely, 24615114640 is an apocalyptic number.

4615114640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4615114640 is an abundant number, since it is smaller than the sum of its proper divisors (6154966120).

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

4615114640 is a wasteful number, since it uses less digits than its factorization.

4615114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214739 (or 214733 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 4615114640 is about 67934.6350545876. The cubic root of 4615114640 is about 1664.9230444161.

The spelling of 4615114640 in words is "four billion, six hundred fifteen million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 538 1076 1345 2152 2690 4304 5380 10760 21520 214457 428914 857828 1072285 1715656 2144570 3431312 4289140 8578280 17156560 57688933 115377866 230755732 288444665 461511464 576889330 923022928 1153778660 2307557320 4615114640