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8100608328 = 2332106072
BaseRepresentation
bin1111000101101010…
…10111100101001000
3202220112201112120200
413202311113211020
5113042223431303
63415452052200
7404512014621
oct74265274510
922815645520
108100608328
113487644a2a
1216a0a64060
139c133a787
1456bbb6a48
153262703a3
hex1e2d57948

8100608328 has 36 divisors (see below), whose sum is σ = 21941216115. Its totient is φ = 2699948208.

The previous prime is 8100608323. The next prime is 8100608339. The reversal of 8100608328 is 8238060018.

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.

8100608328 is a `hidden beast` number, since 8 + 10 + 0 + 608 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4050304164 + 4050304164 = 63642^2 + 63642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=63642.

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

It is a junction number, because it is equal to n+sod(n) for n = 8100608292 and 8100608301.

It is not an unprimeable number, because it can be changed into a prime (8100608323) 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 8 ways as a sum of consecutive naturals, for example, 758401 + ... + 769007.

Almost surely, 28100608328 is an apocalyptic number.

It is an amenable number.

8100608328 is an abundant number, since it is smaller than the sum of its proper divisors (13840607787).

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

8100608328 is an equidigital number, since it uses as much as digits as its factorization.

8100608328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21226 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8100608328 is about 90003.3795365485. The cubic root of 8100608328 is about 2008.3491248901.

Multiplying 8100608328 by its product of nonzero digits (18432), we get a square (149310412701696 = 122192642).

The spelling of 8100608328 in words is "eight billion, one hundred million, six hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 10607 21214 31821 42428 63642 84856 95463 127284 190926 254568 381852 763704 112508449 225016898 337525347 450033796 675050694 900067592 1012576041 1350101388 2025152082 2700202776 4050304164 8100608328