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4468493664 = 253215515603
BaseRepresentation
bin1000010100101011…
…11100110101100000
3102112102020222221100
410022111330311200
533122413244124
62015223154400
7215506366215
oct41225746540
912472228840
104468493664
111993391478
12a485a5a00
135629c4cbb
14305667b0c
151b24681c9
hex10a57cd60

4468493664 has 36 divisors (see below), whose sum is σ = 12707279676. Its totient is φ = 1489497792.

The previous prime is 4468493633. The next prime is 4468493671. The reversal of 4468493664 is 4663948644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4468493664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7757514 + ... + 7758089.

It is an arithmetic number, because the mean of its divisors is an integer number (352979991).

Almost surely, 24468493664 is an apocalyptic number.

It is an amenable number.

4468493664 is an abundant number, since it is smaller than the sum of its proper divisors (8238786012).

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

4468493664 is a wasteful number, since it uses less digits than its factorization.

4468493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15515619 (or 15515608 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 4468493664 is about 66846.7924735361. The cubic root of 4468493664 is about 1647.1015738011.

The spelling of 4468493664 in words is "four billion, four hundred sixty-eight million, four hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 15515603 31031206 46546809 62062412 93093618 124124824 139640427 186187236 248249648 279280854 372374472 496499296 558561708 744748944 1117123416 1489497888 2234246832 4468493664