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1327666329 = 331122317669
BaseRepresentation
bin100111100100010…
…1001010010011001
310102112020102211000
41033020221102121
510204340310304
6335424255213
744620656213
oct11710512231
93375212730
101327666329
11621484400
12310771509
131820a39a2
14c84835b3
157b857939
hex4f229499

1327666329 has 48 divisors (see below), whose sum is σ = 2256105600. Its totient is φ = 769618080.

The previous prime is 1327666303. The next prime is 1327666367. The reversal of 1327666329 is 9236667231.

It is not a de Polignac number, because 1327666329 - 211 = 1327664281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1327666399) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66307 + ... + 83975.

It is an arithmetic number, because the mean of its divisors is an integer number (47002200).

Almost surely, 21327666329 is an apocalyptic number.

It is an amenable number.

1327666329 is a deficient number, since it is larger than the sum of its proper divisors (928439271).

1327666329 is a wasteful number, since it uses less digits than its factorization.

1327666329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17723 (or 17706 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 1327666329 is about 36437.1558851675. The cubic root of 1327666329 is about 1099.0808655398.

The spelling of 1327666329 in words is "one billion, three hundred twenty-seven million, six hundred sixty-six thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 23 27 33 69 99 121 207 253 297 363 621 759 1089 2277 2783 3267 6831 8349 17669 25047 53007 75141 159021 194359 406387 477063 583077 1219161 1749231 2137949 3657483 4470257 5247693 6413847 10972449 13410771 19241541 40232313 49172827 57724623 120696939 147518481 442555443 1327666329