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5719703040 = 29325172859
BaseRepresentation
bin1010101001110101…
…11011111000000000
3112202121122000112100
411110322323320000
543203220444130
62343321030400
7261511450032
oct52472737000
915677560470
105719703040
112475694607
121137625400
13701ca918c
143c38c7c52
1523721bc60
hex154ebbe00

5719703040 has 360 divisors, whose sum is σ = 21067211880. Its totient is φ = 1433862144.

The previous prime is 5719703039. The next prime is 5719703051. The reversal of 5719703040 is 403079175.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5719702986 and 5719703004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6658131 + ... + 6658989.

It is an arithmetic number, because the mean of its divisors is an integer number (58520033).

Almost surely, 25719703040 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 5719703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533605940).

5719703040 is an abundant number, since it is smaller than the sum of its proper divisors (15347508840).

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

5719703040 is a wasteful number, since it uses less digits than its factorization.

5719703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5719703040 is about 75628.7183548683. The cubic root of 5719703040 is about 1788.3718578559.

The spelling of 5719703040 in words is "five billion, seven hundred nineteen million, seven hundred three thousand, forty".