Search a number
-
+
8050021056 = 263472114367
BaseRepresentation
bin1110111111101000…
…11001001011000000
3202210000112102220000
413133310121023000
5112441301133211
63410443520000
7403326023100
oct73764311300
922700472800
108050021056
113461032a70
121687b29000
139b3a07c8c
145651a9200
15321acb656
hex1dfd192c0

8050021056 has 840 divisors, whose sum is σ = 31448995776. Its totient is φ = 2011806720.

The previous prime is 8050021051. The next prime is 8050021081. The reversal of 8050021056 is 6501200508.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8050021051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 120149535 + ... + 120149601.

Almost surely, 28050021056 is an apocalyptic number.

8050021056 is a gapful number since it is divisible by the number (86) 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 8050021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724497888).

8050021056 is an abundant number, since it is smaller than the sum of its proper divisors (23398974720).

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

8050021056 is a wasteful number, since it uses less digits than its factorization.

8050021056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 8050021056 is about 89721.9095650555. The cubic root of 8050021056 is about 2004.1597635188.

The spelling of 8050021056 in words is "eight billion, fifty million, twenty-one thousand, fifty-six".