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8027030016 = 29341961167
BaseRepresentation
bin1110111100111001…
…01100001000000000
3202201102021101010000
413132130230020000
5112414404430031
63404303040000
7402626425605
oct73634541000
922642241100
108027030016
11344a05a505
1216802a0000
139ac018305
145621026ac
1531ea893e6
hex1de72c200

8027030016 has 400 divisors, whose sum is σ = 25786474560. Its totient is φ = 2478366720.

The previous prime is 8027030003. The next prime is 8027030021. The reversal of 8027030016 is 6100307208.

8027030016 is a `hidden beast` number, since 80 + 270 + 300 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48065965 + ... + 48066131.

Almost surely, 28027030016 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 8027030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893237280).

8027030016 is an abundant number, since it is smaller than the sum of its proper divisors (17759444544).

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

8027030016 is a wasteful number, since it uses less digits than its factorization.

8027030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8027030016 is about 89593.6940638123. The cubic root of 8027030016 is about 2002.2499692034.

The spelling of 8027030016 in words is "eight billion, twenty-seven million, thirty thousand, sixteen".