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1331664327 = 337223107409
BaseRepresentation
bin100111101011111…
…1001010111000111
310102210202120001000
41033113321113013
510211401224302
6340050104343
744666650200
oct11727712707
93383676030
101331664327
11623765134
12311b7b0b3
13182b73676
14c8c045a7
157bd9731c
hex4f5f95c7

1331664327 has 96 divisors (see below), whose sum is σ = 2423001600. Its totient is φ = 719300736.

The previous prime is 1331664317. The next prime is 1331664331. The reversal of 1331664327 is 7234661331.

1331664327 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 6 + 643 + 2 + 7 = 666.

It is not a de Polignac number, because 1331664327 - 27 = 1331664199 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1331664291 and 1331664300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331664317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3255699 + ... + 3256107.

It is an arithmetic number, because the mean of its divisors is an integer number (25239600).

Almost surely, 21331664327 is an apocalyptic number.

1331664327 is a deficient number, since it is larger than the sum of its proper divisors (1091337273).

1331664327 is a wasteful number, since it uses less digits than its factorization.

1331664327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 549 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 1331664327 is about 36491.9762002553. The cubic root of 1331664327 is about 1100.1829797533.

The spelling of 1331664327 in words is "one billion, three hundred thirty-one million, six hundred sixty-four thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 21 23 27 49 63 69 107 147 161 189 207 321 409 441 483 621 749 963 1127 1227 1323 1449 2247 2461 2863 2889 3381 3681 4347 5243 6741 7383 8589 9407 10143 11043 15729 17227 20041 20223 22149 25767 28221 30429 43763 47187 51681 60123 65849 66447 77301 84663 120589 131289 141561 155043 180369 197547 253989 306341 361767 393867 460943 465129 541107 592641 919023 1006549 1085301 1181601 1382829 1777923 2144387 2757069 3019647 3255903 4148487 6433161 7045843 8271207 9058941 12445461 19299483 21137529 27176823 49320901 57898449 63412587 147962703 190237761 443888109 1331664327