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6005364243996 = 22313593491869551
BaseRepresentation
bin101011101100011101110…
…0110100011111000011100
3210021002220011022101021210
41113120323212203320130
51241342441221301441
620434454245224420
71156605344556405
oct127307346437034
923232804271253
106005364243996
111a05951613357
1280ba68402110
133473c37c1080
1416a9383c89ac
15a632ed8d616
hex5763b9a3e1c

6005364243996 has 96 divisors (see below), whose sum is σ = 15390152064000. Its totient is φ = 1811279865600.

The previous prime is 6005364243979. The next prime is 6005364244027. The reversal of 6005364243996 is 6993424635006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2277421 + ... + 4146971.

It is an arithmetic number, because the mean of its divisors is an integer number (160314084000).

Almost surely, 26005364243996 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 6005364243996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695076032000).

6005364243996 is an abundant number, since it is smaller than the sum of its proper divisors (9384787820004).

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

6005364243996 is a wasteful number, since it uses less digits than its factorization.

6005364243996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869979 (or 1869977 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 57.

The spelling of 6005364243996 in words is "six trillion, five billion, three hundred sixty-four million, two hundred forty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 349 354 698 708 767 1047 1396 1534 2094 2301 3068 4188 4537 4602 9074 9204 13611 18148 20591 27222 41182 54444 61773 82364 123546 247092 267683 535366 803049 1070732 1606098 1869551 3212196 3739102 5608653 7478204 11217306 22434612 24304163 48608326 72912489 97216652 110303509 145824978 220607018 291649956 330910527 441214036 652473299 661821054 1304946598 1323642108 1433945617 1957419897 2609893196 2867891234 3914839794 4301836851 5735782468 7829679588 8482152887 8603673702 16964305774 17207347404 25446458661 33928611548 38495924641 50892917322 76991849282 101785834644 115487773923 153983698564 230975547846 461951095692 500447020333 1000894040666 1501341060999 2001788081332 3002682121998 6005364243996