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668195631 = 32257307941
BaseRepresentation
bin100111110100111…
…101101100101111
31201120022212002100
4213310331230233
52332024230011
6150145430143
722362366135
oct4764755457
91646285070
10668195631
113131a72a4
1216793b353
13a858503c
1464a59755
153d9ddd56
hex27d3db2f

668195631 has 24 divisors (see below), whose sum is σ = 973116144. Its totient is φ = 441815040.

The previous prime is 668195621. The next prime is 668195653. The reversal of 668195631 is 136591866.

668195631 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 9 + 5 + 631 = 666.

It is not a de Polignac number, because 668195631 - 211 = 668193583 is a prime.

It is a super-3 number, since 3×6681956313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668195621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709621 + ... + 710561.

It is an arithmetic number, because the mean of its divisors is an integer number (40546506).

Almost surely, 2668195631 is an apocalyptic number.

668195631 is a deficient number, since it is larger than the sum of its proper divisors (304920513).

668195631 is a wasteful number, since it uses less digits than its factorization.

668195631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1508 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 668195631 is about 25849.4802849110. The cubic root of 668195631 is about 874.2477915230.

The spelling of 668195631 in words is "six hundred sixty-eight million, one hundred ninety-five thousand, six hundred thirty-one".

Divisors: 1 3 9 257 307 771 921 941 2313 2763 2823 8469 78899 236697 241837 288887 710091 725511 866661 2176533 2599983 74243959 222731877 668195631