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1329484662 = 23211311671297
BaseRepresentation
bin100111100111110…
…0101001101110110
310102122122211002200
41033033211031312
510210322002122
6335531245330
744642301402
oct11717451566
93378584080
101329484662
11622506560
123112a9846
1318258c51c
14c87d8102
157bab65ac
hex4f3e5376

1329484662 has 96 divisors (see below), whose sum is σ = 3265726464. Its totient is φ = 387244800.

The previous prime is 1329484661. The next prime is 1329484669. The reversal of 1329484662 is 2664849231.

It is a super-3 number, since 3×13294846623 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329484661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024398 + ... + 1025694.

It is an arithmetic number, because the mean of its divisors is an integer number (34017984).

Almost surely, 21329484662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329484662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632863232).

1329484662 is an abundant number, since it is smaller than the sum of its proper divisors (1936241802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1329484662 is a wasteful number, since it uses less digits than its factorization.

1329484662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1511 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1329484662 is about 36462.0989796254. The cubic root of 1329484662 is about 1099.5823929937.

The spelling of 1329484662 in words is "one billion, three hundred twenty-nine million, four hundred eighty-four thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 167 186 198 279 334 341 501 558 682 1002 1023 1297 1503 1837 2046 2594 3006 3069 3674 3891 5177 5511 6138 7782 10354 11022 11673 14267 15531 16533 23346 28534 31062 33066 40207 42801 46593 56947 80414 85602 93186 113894 120621 128403 170841 216599 241242 256806 341682 361863 433198 442277 512523 649797 723726 884554 1025046 1299594 1326831 1949391 2382589 2653662 3898782 3980493 4765178 6714569 7147767 7960986 13429138 14295534 20143707 21443301 40287414 42886602 60431121 73860259 120862242 147720518 221580777 443161554 664742331 1329484662