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1684083417335 = 511231331291239
BaseRepresentation
bin11000100000011011001…
…100011010000011110111
312221222220200001122111022
4120200123030122003313
5210043000323323320
63325353544131355
7232446104600324
oct30403314320367
95858820048438
101684083417335
1159a241204440
12232478166b5b
13c2a68038217
145b71d8d1b4b
152dc18304325
hex1881b31a0f7

1684083417335 has 16 divisors (see below), whose sum is σ = 2300471262720. Its totient is φ = 1171536289440.

The previous prime is 1684083417319. The next prime is 1684083417343. The reversal of 1684083417335 is 5337143804861.

It is not a de Polignac number, because 1684083417335 - 24 = 1684083417319 is a prime.

It is a super-2 number, since 2×16840834173352 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 665644355 + ... + 665646884.

It is an arithmetic number, because the mean of its divisors is an integer number (143779453920).

Almost surely, 21684083417335 is an apocalyptic number.

1684083417335 is a deficient number, since it is larger than the sum of its proper divisors (616387845385).

1684083417335 is a wasteful number, since it uses less digits than its factorization.

1684083417335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331291278.

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 1684083417335 in words is "one trillion, six hundred eighty-four billion, eighty-three million, four hundred seventeen thousand, three hundred thirty-five".

Divisors: 1 5 11 23 55 115 253 1265 1331291239 6656456195 14644203629 30619698497 73221018145 153098492485 336816683467 1684083417335