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2004343562704 = 247177120637187
BaseRepresentation
bin11101001010101100001…
…011111010000111010000
321002121120011000200211211
4131022230023322013100
5230314343423001304
64132441022345504
7264544334115130
oct35125413720720
97077504020754
102004343562704
1170304576282a
1228455672b294
131170163c6c12
146d0216b6ac0
153720e4b9204
hex1d2ac2fa1d0

2004343562704 has 160 divisors (see below), whose sum is σ = 4768419373056. Its totient is φ = 796590520320.

The previous prime is 2004343562681. The next prime is 2004343562723. The reversal of 2004343562704 is 4072653434002.

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, 278880999 + ... + 278888185.

Almost surely, 22004343562704 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 2004343562704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384209686528).

2004343562704 is an abundant number, since it is smaller than the sum of its proper divisors (2764075810352).

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

2004343562704 is a wasteful number, since it uses less digits than its factorization.

2004343562704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

Adding to 2004343562704 its reverse (4072653434002), we get a palindrome (6076996996706).

The spelling of 2004343562704 in words is "two trillion, four billion, three hundred forty-three million, five hundred sixty-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 71 112 119 136 142 238 272 284 476 497 568 952 994 1136 1207 1904 1988 2063 2414 3976 4126 4828 7187 7952 8252 8449 9656 14374 14441 16504 16898 19312 28748 28882 33008 33796 35071 50309 57496 57764 67592 70142 100618 114992 115528 122179 135184 140284 146473 201236 231056 244358 245497 280568 292946 402472 488716 490994 510277 561136 585892 804944 855253 977432 981988 1020554 1025311 1171784 1710506 1954864 1963976 2041108 2050622 2343568 2490041 3421012 3571939 3927952 4082216 4101244 4980082 6842024 7143878 8164432 8202488 8674709 9960164 13684048 14287756 14826781 16404976 17349418 17430287 19920328 28575512 29653562 34698836 34860574 39840656 57151024 59307124 60722963 69397672 69721148 103787467 118614248 121445926 138795344 139442296 207574934 237228496 242891852 252055277 278884592 415149868 485783704 504110554 830299736 971567408 1008221108 1052701451 1660599472 1764386939 2016442216 2105402902 3528773878 4032884432 4210805804 7057547756 7368910157 8421611608 14115095512 14737820314 16843223216 17895924667 28230191024 29475640628 35791849334 58951281256 71583698668 117902562512 125271472669 143167397336 250542945338 286334794672 501085890676 1002171781352 2004343562704