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993671601 = 313832511223
BaseRepresentation
bin111011001110100…
…011100110110001
32120020202202011220
4323032203212301
54013334442401
6242333455253
733424032516
oct7316434661
92506682156
10993671601
1146a9a11aa
12238941529
1312ab32880
1495d8130d
155c381336
hex3b3a39b1

993671601 has 32 divisors (see below), whose sum is σ = 1450939392. Its totient is φ = 601224000.

The previous prime is 993671587. The next prime is 993671611. The reversal of 993671601 is 106176399.

It is not a de Polignac number, because 993671601 - 210 = 993670577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (993671611) 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 31 ways as a sum of consecutive naturals, for example, 811876 + ... + 813098.

It is an arithmetic number, because the mean of its divisors is an integer number (45341856).

Almost surely, 2993671601 is an apocalyptic number.

It is an amenable number.

993671601 is a deficient number, since it is larger than the sum of its proper divisors (457267791).

993671601 is a wasteful number, since it uses less digits than its factorization.

993671601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573.

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 993671601 is about 31522.5570187445. The cubic root of 993671601 is about 997.8860681075.

The spelling of 993671601 in words is "nine hundred ninety-three million, six hundred seventy-one thousand, six hundred one".

Divisors: 1 3 13 39 83 249 251 753 1079 1223 3237 3263 3669 9789 15899 20833 47697 62499 101509 270829 304527 306973 812487 920919 1319617 3958851 3990649 11971947 25478759 76436277 331223867 993671601