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8813530000081 = 29216726132
BaseRepresentation
bin1000000001000000111101…
…0100110010101011010001
31011012120021001121100202001
42000100033110302223101
52123400102140000311
630424514011154001
71566520326631522
oct200201724625321
934176231540661
108813530000081
112898884a0a284
12ba4155445901
134bc15c99c631
142268118d4849
151043d7e9b4c1
hex8040f532ad1

8813530000081 has 27 divisors (see below), whose sum is σ = 9197914890801. Its totient is φ = 8444860601184.

The previous prime is 8813530000039. The next prime is 8813530000087. The reversal of 8813530000081 is 1800000353188.

The square root of 8813530000081 is 2968759.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3691528182225 + 5122001817856 = 1921335^2 + 2263184^2 .

It is not a de Polignac number, because 8813530000081 - 211 = 8813529998033 is a prime.

It is a super-2 number, since 2×88135300000812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8813530000087) 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 26 ways as a sum of consecutive naturals, for example, 14377699531 + ... + 14377700143.

Almost surely, 28813530000081 is an apocalyptic number.

8813530000081 is the 2968759-th square number.

8813530000081 is the 1484380-th centered octagonal number.

It is an amenable number.

8813530000081 is a deficient number, since it is larger than the sum of its proper divisors (384384890720).

8813530000081 is an frugal number, since it uses more digits than its factorization.

8813530000081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 8813530000081 in words is "eight trillion, eight hundred thirteen billion, five hundred thirty million, eighty-one", and thus it is an aban number.

Divisors: 1 29 167 613 841 4843 17777 27889 102371 140447 375769 515533 808781 2968759 10897301 17095957 23454649 62753423 86094011 316021729 495782753 1819849267 10479821641 14377699837 52775628743 303914827589 8813530000081