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1332032233329 = 327611374335843
BaseRepresentation
bin10011011000100011010…
…011101101111101110001
311201100012121122111122100
4103120203103231331301
5133311000222431304
62455532133331013
7165144000111630
oct23304323557561
94640177574570
101332032233329
11473a035191a6
121961a6a96a69
13987c1511265
144868387d517
15249b117c439
hex136234edf71

1332032233329 has 96 divisors (see below), whose sum is σ = 2256857051904. Its totient is φ = 741375037440.

The previous prime is 1332032233243. The next prime is 1332032233373. The reversal of 1332032233329 is 9233322302331.

1332032233329 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 322 + 3 + 3 + 329 = 666.

It is not a de Polignac number, because 1332032233329 - 211 = 1332032231281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1332032233293 and 1332032233302.

It is not an unprimeable number, because it can be changed into a prime (1332032233379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227967682 + ... + 227973524.

It is an arithmetic number, because the mean of its divisors is an integer number (23508927624).

Almost surely, 21332032233329 is an apocalyptic number.

It is an amenable number.

1332032233329 is a deficient number, since it is larger than the sum of its proper divisors (924824818575).

1332032233329 is a wasteful number, since it uses less digits than its factorization.

1332032233329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The spelling of 1332032233329 in words is "one trillion, three hundred thirty-two billion, thirty-two million, two hundred thirty-three thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 61 63 137 183 411 427 433 549 959 1233 1281 1299 2877 3031 3843 3897 5843 8357 8631 9093 17529 25071 26413 27279 40901 52587 58499 59321 75213 79239 122703 175497 177963 184891 237717 356423 368109 415247 526491 533889 554673 800491 1069269 1245741 1664019 2401473 2494961 2530019 3207807 3618581 3737223 5603437 7204419 7484883 7590057 10855743 16810311 17710133 22454649 22770171 25330067 32567229 48829951 50430933 53130399 75990201 146489853 154331159 159391197 227970603 341809657 346612603 439469559 462993477 1025428971 1039837809 1080318113 1388980431 2426288221 3076286913 3119513427 3240954339 7278864663 9722863017 21143368783 21836593989 63430106349 148003581481 190290319047 444010744443 1332032233329