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2643226632 = 2332732832
BaseRepresentation
bin1001110110001100…
…0111000000001000
320211012200211021200
42131203013000020
520403131223012
61114141304200
7122334025044
oct23543070010
96735624250
102643226632
11113703a322
12619265060
133317c9337
141b1095024
151070bd3dc
hex9d8c7008

2643226632 has 108 divisors (see below), whose sum is σ = 7346648205. Its totient is φ = 858536064.

The previous prime is 2643226627. The next prime is 2643226633. The reversal of 2643226632 is 2366223462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2643226632 is a `hidden beast` number, since 2 + 643 + 2 + 2 + 6 + 6 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2631074436 + 12152196 = 51294^2 + 3486^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=36354.

It is a super-2 number, since 2×26432266322 = 13973294056228126848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (124416) is a multiple of the sum of its prime factors (324).

It is not an unprimeable number, because it can be changed into a prime (2643226633) 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, 31846063 + ... + 31846145.

Almost surely, 22643226632 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 2643226632

2643226632 is an abundant number, since it is smaller than the sum of its proper divisors (4703421573).

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

2643226632 is an equidigital number, since it uses as much as digits as its factorization.

2643226632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 161 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 2643226632 is about 51412.3198465115. The cubic root of 2643226632 is about 1382.6474822362.

The spelling of 2643226632 in words is "two billion, six hundred forty-three million, two hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 83 146 166 219 249 292 332 438 498 584 657 664 747 876 996 1314 1494 1752 1992 2628 2988 5256 5329 5976 6059 6889 10658 12118 13778 15987 18177 20667 21316 24236 27556 31974 36354 41334 42632 47961 48472 54531 55112 62001 63948 72708 82668 95922 109062 124002 127896 145416 165336 191844 218124 248004 383688 436248 442307 496008 502897 884614 1005794 1326921 1508691 1769228 2011588 2653842 3017382 3538456 3980763 4023176 4526073 5307684 6034764 7961526 9052146 10615368 12069528 15923052 18104292 31846104 36208584 36711481 73422962 110134443 146845924 220268886 293691848 330403329 440537772 660806658 881075544 1321613316 2643226632