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5144194944 = 273271275023
BaseRepresentation
bin1001100101001111…
…00010111110000000
3111021111201011211200
410302213202332000
541013403214234
62210241541200
7241322635620
oct46247427600
914244634750
105144194944
1121aa844889
12bb6944800
1363c9a7445
1436b2b8880
1520193ad99
hex1329e2f80

5144194944 has 192 divisors, whose sum is σ = 17054269440. Its totient is φ = 1457906688.

The previous prime is 5144194933. The next prime is 5144194949. The reversal of 5144194944 is 4494914415.

5144194944 is a `hidden beast` number, since 5 + 144 + 19 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 5144194944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144194949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021617 + ... + 1026639.

It is an arithmetic number, because the mean of its divisors is an integer number (88824320).

Almost surely, 25144194944 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 5144194944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527134720).

5144194944 is an abundant number, since it is smaller than the sum of its proper divisors (11910074496).

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

5144194944 is a wasteful number, since it uses less digits than its factorization.

5144194944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5162 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 5144194944 is about 71723.0433263955. The cubic root of 5144194944 is about 1726.2584047573.

The spelling of 5144194944 in words is "five billion, one hundred forty-four million, one hundred ninety-four thousand, nine hundred forty-four".