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2001001641 = 34714191501
BaseRepresentation
bin111011101000100…
…1101110010101001
312011110020102012220
41313101031302221
513044224023031
6530320224253
7100405143012
oct16721156251
95143212186
102001001641
11937571171
1247a16b089
1325b738252
1414da7a009
15baa0e596
hex7744dca9

2001001641 has 8 divisors (see below), whose sum is σ = 2724768384. Its totient is φ = 1305618000.

The previous prime is 2001001577. The next prime is 2001001657. The reversal of 2001001641 is 1461001002.

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

It is not a de Polignac number, because 2001001641 - 26 = 2001001577 is a prime.

It is a super-4 number, since 4×20010016414 (a number of 38 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001001641.

It is not an unprimeable number, because it can be changed into a prime (2001001241) 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, 7095610 + ... + 7095891.

It is an arithmetic number, because the mean of its divisors is an integer number (340596048).

Almost surely, 22001001641 is an apocalyptic number.

It is an amenable number.

2001001641 is a deficient number, since it is larger than the sum of its proper divisors (723766743).

2001001641 is a wasteful number, since it uses less digits than its factorization.

2001001641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14191551.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2001001641 is about 44732.5568350391. The cubic root of 2001001641 is about 1260.1313462219.

Adding to 2001001641 its reverse (1461001002), we get a palindrome (3462002643).

The spelling of 2001001641 in words is "two billion, one million, one thousand, six hundred forty-one".

Divisors: 1 3 47 141 14191501 42574503 667000547 2001001641