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272601630020 = 225135971002433
BaseRepresentation
bin1111110111100001010…
…0101100010101000100
3222001122002001121211102
43331320110230111010
513431242004130040
6325121554555232
725460215423556
oct3757024542504
9861562047742
10272601630020
11a5678571425
12449b9898b18
131c92475a675
14d2a04414d6
157157188515
hex3f7852c544

272601630020 has 24 divisors (see below), whose sum is σ = 572506096344. Its totient is φ = 109032523776.

The previous prime is 272601630019. The next prime is 272601630029. The reversal of 272601630020 is 20036106272.

272601630020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31308471364 + 241293158656 = 176942^2 + 491216^2 .

It is not an unprimeable number, because it can be changed into a prime (272601630029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229277 + ... + 773156.

It is an arithmetic number, because the mean of its divisors is an integer number (23854420681).

Almost surely, 2272601630020 is an apocalyptic number.

272601630020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272601630020 is an abundant number, since it is smaller than the sum of its proper divisors (299904466324).

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

272601630020 is a wasteful number, since it uses less digits than its factorization.

272601630020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016039 (or 1016037 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 272601630020 its reverse (20036106272), we get a palindrome (292637736292).

The spelling of 272601630020 in words is "two hundred seventy-two billion, six hundred one million, six hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 13597 27194 54388 67985 135970 271940 1002433 2004866 4009732 5012165 10024330 20048660 13630081501 27260163002 54520326004 68150407505 136300815010 272601630020