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4332461664 = 25345129809
BaseRepresentation
bin1000000100011110…
…00001111001100000
3102011221021212010010
410002033001321200
532333102233124
61553523404520
7212235213366
oct40217017140
912157255103
104332461664
11192361a633
12a0ab23740
13540776aab
142d1577636
151a5547529
hex1023c1e60

4332461664 has 24 divisors (see below), whose sum is σ = 11372712120. Its totient is φ = 1444153856.

The previous prime is 4332461647. The next prime is 4332461711. The reversal of 4332461664 is 4661642334.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22564809 + ... + 22565000.

It is an arithmetic number, because the mean of its divisors is an integer number (473863005).

Almost surely, 24332461664 is an apocalyptic number.

It is an amenable number.

4332461664 is an abundant number, since it is smaller than the sum of its proper divisors (7040250456).

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

4332461664 is a wasteful number, since it uses less digits than its factorization.

4332461664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45129822 (or 45129814 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 4332461664 is about 65821.4377235867. The cubic root of 4332461664 is about 1630.2150924957.

The spelling of 4332461664 in words is "four billion, three hundred thirty-two million, four hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 45129809 90259618 135389427 180519236 270778854 361038472 541557708 722076944 1083115416 1444153888 2166230832 4332461664