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1668439552304 = 2471971108710159
BaseRepresentation
bin11000010001110110101…
…111110011000100110000
312220111112102100222000202
4120101312233303010300
5204313431011133204
63314245345534332
7231353326125350
oct30216657630460
95814472328022
101668439552304
115936436a4068
1222b4310443a8
13c1443ca5755
145aa77d86b60
152d5eec09e1e
hex18476bf3130

1668439552304 has 160 divisors (see below), whose sum is σ = 3947633049600. Its totient is φ = 667190442240.

The previous prime is 1668439552267. The next prime is 1668439552337. The reversal of 1668439552304 is 4032559348661.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1668439552304.

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, 164227577 + ... + 164237735.

It is an arithmetic number, because the mean of its divisors is an integer number (24672706560).

Almost surely, 21668439552304 is an apocalyptic number.

1668439552304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668439552304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973816524800).

1668439552304 is an abundant number, since it is smaller than the sum of its proper divisors (2279193497296).

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

1668439552304 is a wasteful number, since it uses less digits than its factorization.

1668439552304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11351 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 56.

The spelling of 1668439552304 in words is "one trillion, six hundred sixty-eight billion, four hundred thirty-nine million, five hundred fifty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 71 76 112 133 142 152 266 284 304 497 532 568 994 1064 1087 1136 1349 1988 2128 2174 2698 3976 4348 5396 7609 7952 8696 9443 10159 10792 15218 17392 18886 20318 20653 21584 30436 37772 40636 41306 60872 71113 75544 77177 81272 82612 121744 142226 144571 151088 154354 162544 165224 193021 284452 289142 308708 330448 386042 540239 568904 578284 617416 721289 772084 1080478 1137808 1156568 1234832 1351147 1442578 1466363 1544168 2160956 2313136 2702294 2885156 2932726 3088336 4321912 5049023 5404588 5770312 5865452 8643824 10098046 10264541 10809176 11042833 11540624 11730904 13704491 20196092 20529082 21618352 22085666 23461808 27408982 40392184 41058164 44171332 54817964 77299831 80784368 82116328 88342664 95931437 109635928 154599662 164232656 176685328 191862874 209813827 219271856 309199324 383725748 419627654 618398648 767451496 784041143 839255308 1236797296 1468696789 1534902992 1568082286 1678510616 2937393578 3136164572 3357021232 5488288001 5874787156 6272329144 10976576002 11749574312 12544658288 14896781717 21953152004 23499148624 29793563434 43906304008 59587126868 87812608016 104277472019 119174253736 208554944038 238348507472 417109888076 834219776152 1668439552304