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1332585641 = 29241190669
BaseRepresentation
bin100111101101101…
…1010010010101001
310102212111100211202
41033123122102221
510212120220031
6340121533545
745010535222
oct11733322251
93385440752
101332585641
11624234352
123123442b5
13183106b1a
14c8da4249
157beca2cb
hex4f6da4a9

1332585641 has 8 divisors (see below), whose sum is σ = 1384264200. Its totient is φ = 1281288960.

The previous prime is 1332585637. The next prime is 1332585643. The reversal of 1332585641 is 1465852331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 742290025 + 590295616 = 27245^2 + 24296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1332585641 - 22 = 1332585637 is a prime.

It is a super-3 number, since 3×13325856413 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1332585595 and 1332585604.

It is not an unprimeable number, because it can be changed into a prime (1332585643) 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 7 ways as a sum of consecutive naturals, for example, 88346 + ... + 102323.

It is an arithmetic number, because the mean of its divisors is an integer number (173033025).

Almost surely, 21332585641 is an apocalyptic number.

It is an amenable number.

1332585641 is a deficient number, since it is larger than the sum of its proper divisors (51678559).

1332585641 is a wasteful number, since it uses less digits than its factorization.

1332585641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190939.

The product of its digits is 86400, while the sum is 38.

The square root of 1332585641 is about 36504.5975323657. The cubic root of 1332585641 is about 1100.4366423554.

The spelling of 1332585641 in words is "one billion, three hundred thirty-two million, five hundred eighty-five thousand, six hundred forty-one".

Divisors: 1 29 241 6989 190669 5529401 45951229 1332585641