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268547150806688 = 25139711519577751
BaseRepresentation
bin111101000011111000000001…
…100001110111111010100000
31022012211212010200011211211002
4331003320001201313322200
5240144334031101303223
62351052505152411132
7110364614512511645
oct7503700141677240
91265755120154732
10268547150806688
1178627230691016
12261522a1546aa8
13b6acb702598b0
144a45a73da1dcc
15210a7dad79e28
hexf43e01877ea0

268547150806688 has 96 divisors (see below), whose sum is σ = 575292347965440. Its totient is φ = 122656195584000.

The previous prime is 268547150806621. The next prime is 268547150806699. The reversal of 268547150806688 is 886608051745862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464525813 + ... + 465103563.

It is an arithmetic number, because the mean of its divisors is an integer number (5992628624640).

Almost surely, 2268547150806688 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 268547150806688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287646173982720).

268547150806688 is an abundant number, since it is smaller than the sum of its proper divisors (306745197158752).

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

268547150806688 is a wasteful number, since it uses less digits than its factorization.

268547150806688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589390 (or 589382 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 74.

The spelling of 268547150806688 in words is "two hundred sixty-eight trillion, five hundred forty-seven billion, one hundred fifty million, eight hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 388 416 776 1261 1552 2522 3104 5044 10088 11519 20176 23038 40352 46076 92152 149747 184304 299494 368608 577751 598988 1117343 1155502 1197976 2234686 2311004 2395952 4469372 4622008 4791904 7510763 8938744 9244016 14525459 15021526 17877488 18488032 29050918 30043052 35754976 56041847 58101836 60086104 112083694 116203672 120172208 224167388 232407344 240344416 448334776 464814688 728544011 896669552 1457088022 1793339104 2914176044 5828352088 6655113769 11656704176 13310227538 23313408352 26620455076 53240910152 86516478997 106481820304 173032957994 212963640608 346065915988 645546035593 692131831976 1291092071186 1384263663952 2582184142372 2768527327904 5164368284744 8392098462709 10328736569488 16784196925418 20657473138976 33568393850836 67136787701672 134273575403344 268547150806688