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1684438080435 = 325113402905213
BaseRepresentation
bin11000100000110000010…
…101010101101110110011
312222000211101102101210200
4120200300111111232303
5210044212122033220
63325453053530243
7232460642305455
oct30406025255663
95860741371720
101684438080435
1159a403424040
12232556aa3983
13c2ac3664a46
145b754a542d5
152dc3950e890
hex18830555bb3

1684438080435 has 24 divisors (see below), whose sum is σ = 3185119280304. Its totient is φ = 816697250880.

The previous prime is 1684438080313. The next prime is 1684438080443. The reversal of 1684438080435 is 5340808344861.

It is a happy number.

1684438080435 is a `hidden beast` number, since 1 + 6 + 8 + 443 + 80 + 80 + 43 + 5 = 666.

It is not a de Polignac number, because 1684438080435 - 212 = 1684438076339 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1701452112 + ... + 1701453101.

It is an arithmetic number, because the mean of its divisors is an integer number (132713303346).

Almost surely, 21684438080435 is an apocalyptic number.

1684438080435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1684438080435 is a deficient number, since it is larger than the sum of its proper divisors (1500681199869).

1684438080435 is a wasteful number, since it uses less digits than its factorization.

1684438080435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402905235 (or 3402905232 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1684438080435 in words is "one trillion, six hundred eighty-four billion, four hundred thirty-eight million, eighty thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 3402905213 10208715639 17014526065 30626146917 37431957343 51043578195 112295872029 153130734585 187159786715 336887616087 561479360145 1684438080435