Search a number
-
+
5719633103040 = 263524130780527
BaseRepresentation
bin101001100111011010010…
…1100110000100011000000
3202020210101001202111101120
41103032310230300203000
51222202302033244130
620055321351232240
71130141561132133
oct123166454604300
922223331674346
105719633103040
11190575685a04a
12784605678680
13326488bb7a2c
1415ab9034821a
159dbaa21e910
hex533b4b308c0

5719633103040 has 224 divisors, whose sum is σ = 18294812304384. Its totient is φ = 1513940336640.

The previous prime is 5719633103033. The next prime is 5719633103069. The reversal of 5719633103040 is 403013369175.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5719633102983 and 5719633103001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70987257 + ... + 71067783.

It is an arithmetic number, because the mean of its divisors is an integer number (81673269216).

Almost surely, 25719633103040 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 5719633103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147406152192).

5719633103040 is an abundant number, since it is smaller than the sum of its proper divisors (12575179201344).

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

5719633103040 is a wasteful number, since it uses less digits than its factorization.

5719633103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81095 (or 81085 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 5719633103040 in words is "five trillion, seven hundred nineteen billion, six hundred thirty-three million, one hundred three thousand, forty".