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4464946944 = 283223109773
BaseRepresentation
bin1000010100010000…
…11010111100000000
3102112011120210202100
410022020122330000
533121011300234
62015015150400
7215434265013
oct41210327400
912464523670
104464946944
1119913897a7
12a47375400
13562052853
14304dc337a
151b1eb7399
hex10a21af00

4464946944 has 216 divisors, whose sum is σ = 13574040480. Its totient is φ = 1408720896.

The previous prime is 4464946879. The next prime is 4464946951. The reversal of 4464946944 is 4496494644.

4464946944 is a `hidden beast` number, since 4 + 464 + 94 + 6 + 94 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5775742 + ... + 5776514.

It is an arithmetic number, because the mean of its divisors is an integer number (62842780).

Almost surely, 24464946944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4464946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787020240).

4464946944 is an abundant number, since it is smaller than the sum of its proper divisors (9109093536).

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

4464946944 is a wasteful number, since it uses less digits than its factorization.

4464946944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 910 counting only the distinct ones).

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

The square root of 4464946944 is about 66820.2584849834. The cubic root of 4464946944 is about 1646.6656808735.

The spelling of 4464946944 in words is "four billion, four hundred sixty-four million, nine hundred forty-six thousand, nine hundred forty-four".