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84669824057 = 7313312112903
BaseRepresentation
bin100111011011010110…
…1101111110000111001
322002112210012201022112
41032312231233300321
52341400433332212
6102521412102105
76055124426000
oct1166655576071
9262483181275
1084669824057
11329a99aa005
12144ab904935
137ca475b810
14415304dc37
152308455422
hex13b6b6fc39

84669824057 has 64 divisors (see below), whose sum is σ = 110324121600. Its totient is φ = 64501012800.

The previous prime is 84669824009. The next prime is 84669824087. The reversal of 84669824057 is 75042896648.

It is a happy number.

It is not a de Polignac number, because 84669824057 - 216 = 84669758521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84669823987 and 84669824005.

It is not an unprimeable number, because it can be changed into a prime (84669824087) 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 63 ways as a sum of consecutive naturals, for example, 29164868 + ... + 29167770.

It is an arithmetic number, because the mean of its divisors is an integer number (1723814400).

Almost surely, 284669824057 is an apocalyptic number.

It is an amenable number.

84669824057 is a deficient number, since it is larger than the sum of its proper divisors (25654297543).

84669824057 is a wasteful number, since it uses less digits than its factorization.

84669824057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 84669824057 in words is "eighty-four billion, six hundred sixty-nine million, eight hundred twenty-four thousand, fifty-seven".

Divisors: 1 7 13 31 49 91 211 217 343 403 637 1477 1519 2743 2821 2903 4459 6541 10339 10633 19201 19747 20321 37739 45787 72373 85033 89993 134407 138229 142247 264173 320509 595231 612533 629951 940849 995729 1169909 1849211 2243563 4166617 4287731 4409657 7962929 8189363 12944477 18988523 29166319 30014117 30867599 55740503 57325541 132919661 210098819 246850799 390183521 401278787 930437627 1727955593 2731284647 6513063389 12095689151 84669824057