Search a number
-
+
5929620480000 = 2133254731593
BaseRepresentation
bin101011001001001100011…
…1011000010000000000000
3202222212101110001111110100
41112102120323002000000
51234122330320330000
620340010253402400
71151254344315210
oct126223073020000
922885343044410
105929620480000
1119868131a3398
127b9249a99400
133402123c48c9
14166dd0a24240
15a439a3aba00
hex56498ec2000

5929620480000 has 1680 divisors, whose sum is σ = 25293808590336. Its totient is φ = 1309409280000.

The previous prime is 5929620479813. The next prime is 5929620480029. The reversal of 5929620480000 is 840269295.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9999359704 + ... + 9999360296.

Almost surely, 25929620480000 is an apocalyptic number.

5929620480000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5929620480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646904295168).

5929620480000 is an abundant number, since it is smaller than the sum of its proper divisors (19364188110336).

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

5929620480000 is an equidigital number, since it uses as much as digits as its factorization.

5929620480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 5929620480000 in words is "five trillion, nine hundred twenty-nine billion, six hundred twenty million, four hundred eighty thousand".