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5719494144 = 293713172983
BaseRepresentation
bin1010101001110100…
…01000111000000000
3112202121020101222110
411110322020320000
543203142303034
62343312335320
7261506620020
oct52472107000
915677211873
105719494144
112475561671
121137544540
13701c35080
143c3871a80
152371c9de9
hex154e88e00

5719494144 has 640 divisors, whose sum is σ = 20788669440. Its totient is φ = 1354235904.

The previous prime is 5719494119. The next prime is 5719494163. The reversal of 5719494144 is 4414949175.

It is a happy number.

It is a super-2 number, since 2×57194941442 = 65425226526500585472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5719494093 and 5719494102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68909527 + ... + 68909609.

It is an arithmetic number, because the mean of its divisors is an integer number (32482296).

Almost surely, 25719494144 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 5719494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394334720).

5719494144 is an abundant number, since it is smaller than the sum of its proper divisors (15069175296).

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

5719494144 is a wasteful number, since it uses less digits than its factorization.

5719494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 5719494144 is about 75627.3372795843. The cubic root of 5719494144 is about 1788.3500858471.

The spelling of 5719494144 in words is "five billion, seven hundred nineteen million, four hundred ninety-four thousand, one hundred forty-four".