Search a number
-
+
8045630380032 = 2113721721931157
BaseRepresentation
bin111010100010100010011…
…1100001101100000000000
31001111011011210222212202120
41311011010330031200000
52023304422334130112
625040040033244240
71460164135564200
oct165050474154000
931434153885676
108045630380032
112622150667113
12a9b369403680
134649132a9b2b
141db5a6922400
15de442dc2e8c
hex75144f0d800

8045630380032 has 1728 divisors, whose sum is σ = 28984391654400. Its totient is φ = 1970908692480.

The previous prime is 8045630379977. The next prime is 8045630380043. The reversal of 8045630380032 is 2300830365408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51246053298 + ... + 51246053454.

It is an arithmetic number, because the mean of its divisors is an integer number (16773374800).

Almost surely, 28045630380032 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 8045630380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492195827200).

8045630380032 is an abundant number, since it is smaller than the sum of its proper divisors (20938761274368).

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

8045630380032 is a wasteful number, since it uses less digits than its factorization.

8045630380032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 8045630380032 in words is "eight trillion, forty-five billion, six hundred thirty million, three hundred eighty thousand, thirty-two".