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1659680399364 = 2231331188738567
BaseRepresentation
bin11000001001101100101…
…010010010000000000100
312212122220222110220001220
4120021230222102000010
5204143011140234424
63310240250520340
7230623266425331
oct30115452220004
95778828426056
101659680399364
1158a959354899
122297a77360b0
13c06793b1a10
145a486947988
152d28ac55579
hex1826ca92004

1659680399364 has 96 divisors (see below), whose sum is σ = 4188714356736. Its totient is φ = 508441802880.

The previous prime is 1659680399353. The next prime is 1659680399473. The reversal of 1659680399364 is 4639930869561.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43014409 + ... + 43052975.

It is an arithmetic number, because the mean of its divisors is an integer number (43632441216).

Almost surely, 21659680399364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1659680399364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094357178368).

1659680399364 is an abundant number, since it is smaller than the sum of its proper divisors (2529033957372).

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

1659680399364 is a wasteful number, since it uses less digits than its factorization.

1659680399364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39785 (or 39783 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 69.

The spelling of 1659680399364 in words is "one trillion, six hundred fifty-nine billion, six hundred eighty million, three hundred ninety-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 311 622 887 933 1244 1774 1866 2661 3548 3732 4043 5322 8086 10644 11531 12129 16172 23062 24258 34593 38567 46124 48516 69186 77134 115701 138372 154268 231402 275857 462804 501371 551714 827571 1002742 1103428 1504113 1655142 2005484 3008226 3310284 3586141 6016452 7172282 10758423 11994337 14344564 21516846 23988674 34208929 35983011 43033692 47977348 68417858 71966022 102626787 136835716 143932044 155926381 205253574 311852762 410507148 444716077 467779143 623705524 889432154 935558286 1334148231 1778864308 1871116572 2668296462 5336592924 10638976919 21277953838 31916930757 42555907676 63833861514 127667723028 138306699947 276613399894 414920099841 553226799788 829840199682 1659680399364