Search a number
-
+
268675379952 = 243715119726881
BaseRepresentation
bin1111101000111001001…
…1001111001011110000
3221200111110010110021020
43322032103033023300
513400221344124302
6323232221455440
725261012022430
oct3721623171360
9850443113236
10268675379952
11a3a4327a661
12440a2a11580
131c44a1bb585
14d00ac082c0
156ec762eebc
hex3e8e4cf2f0

268675379952 has 160 divisors (see below), whose sum is σ = 802568346624. Its totient is φ = 75866112000.

The previous prime is 268675379939. The next prime is 268675380007. The reversal of 268675379952 is 259973576862.

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, 9981552 + ... + 10008432.

Almost surely, 2268675379952 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 268675379952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401284173312).

268675379952 is an abundant number, since it is smaller than the sum of its proper divisors (533892966672).

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

268675379952 is a wasteful number, since it uses less digits than its factorization.

268675379952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27247 (or 27241 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 69.

The spelling of 268675379952 in words is "two hundred sixty-eight billion, six hundred seventy-five million, three hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 197 302 336 394 453 591 604 788 906 1057 1182 1208 1379 1576 1812 2114 2364 2416 2758 3152 3171 3624 4137 4228 4728 5516 6342 7248 8274 8456 9456 11032 12684 16548 16912 22064 25368 26881 29747 33096 50736 53762 59494 66192 80643 89241 107524 118988 161286 178482 188167 208229 215048 237976 322572 356964 376334 416458 430096 475952 564501 624687 645144 713928 752668 832916 1129002 1249374 1290288 1427856 1505336 1665832 2258004 2498748 3010672 3331664 4059031 4516008 4997496 5295557 8118062 9032016 9994992 10591114 12177093 15886671 16236124 21182228 24354186 28413217 31773342 32472248 37068899 42364456 48708372 56826434 63546684 64944496 74137798 84728912 85239651 97416744 111206697 113652868 127093368 148275596 170479302 194833488 222413394 227305736 254186736 296551192 340958604 444826788 454611472 593102384 681917208 799629107 889653576 1363834416 1599258214 1779307152 2398887321 3198516428 4797774642 5597403749 6397032856 9595549284 11194807498 12794065712 16792211247 19191098568 22389614996 33584422494 38382197136 44779229992 67168844988 89558459984 134337689976 268675379952