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2730163968 = 2834722687
BaseRepresentation
bin1010001010111010…
…1111111100000000
321001021021200220000
42202232233330000
521042410221333
61130524520000
7124441003500
oct24256577400
97037250800
102730163968
111181119664
126423b0000
1334681824c
141bc845a00
1510ea42713
hexa2baff00

2730163968 has 270 divisors, whose sum is σ = 9473498496. Its totient is φ = 779756544.

The previous prime is 2730163939. The next prime is 2730163981. The reversal of 2730163968 is 8693610372.

2730163968 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 1 + 639 + 6 + 8 = 666.

2730163968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1014721 + ... + 1017407.

Almost surely, 22730163968 is an apocalyptic number.

2730163968 is a gapful number since it is divisible by the number (28) 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 2730163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736749248).

2730163968 is an abundant number, since it is smaller than the sum of its proper divisors (6743334528).

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

2730163968 is an equidigital number, since it uses as much as digits as its factorization.

2730163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2730163968 is about 52250.9709766240. The cubic root of 2730163968 is about 1397.6429672723.

The spelling of 2730163968 in words is "two billion, seven hundred thirty million, one hundred sixty-three thousand, nine hundred sixty-eight".