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88006562281 = 11214921812
BaseRepresentation
bin101000111110110011…
…0011001000111101001
322102011022212120122201
41101331212121013221
52420214134443111
6104232450020201
76233612302531
oct1217546310751
9272138776581
1088006562281
1134361456900
1215081277661
1383b6b34b31
14438c2704c1
1524513636c1
hex147d9991e9

88006562281 has 27 divisors (see below), whose sum is σ = 97929096069. Its totient is φ = 79029957600.

The previous prime is 88006562263. The next prime is 88006562297. The reversal of 88006562281 is 18226560088.

The square root of 88006562281 is 296659.

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 71044104681 + 16962457600 = 266541^2 + 130240^2 .

It is not a de Polignac number, because 88006562281 - 213 = 88006554089 is a prime.

It is a super-2 number, since 2×880065622812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88006562221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 486224011 + ... + 486224191.

Almost surely, 288006562281 is an apocalyptic number.

88006562281 is the 296659-th square number.

88006562281 is the 148330-th centered octagonal number.

It is an amenable number.

88006562281 is a deficient number, since it is larger than the sum of its proper divisors (9922533788).

88006562281 is an equidigital number, since it uses as much as digits as its factorization.

88006562281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 88006562281 in words is "eighty-eight billion, six million, five hundred sixty-two thousand, two hundred eighty-one".

Divisors: 1 11 121 149 181 1639 1991 18029 21901 22201 26969 32761 244211 296659 360371 2686321 3263249 3964081 4018381 4881389 44202191 53695279 486224101 590648069 727326961 8000596571 88006562281