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68884412160 = 2835151118799
BaseRepresentation
bin100000000100111010…
…1001011011100000000
320120210200011201001110
41000021311023130000
52112033402142120
651351200003320
74656006561654
oct1001165133400
9216720151043
1068884412160
1127239500453
1211425300540
13665a2998c5
1434967baa64
151bd26eb2e0
hex1009d4b700

68884412160 has 144 divisors (see below), whose sum is σ = 221458406400. Its totient is φ = 18247372800.

The previous prime is 68884412119. The next prime is 68884412167. The reversal of 68884412160 is 6121448886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68884412167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520441 + ... + 639239.

It is an arithmetic number, because the mean of its divisors is an integer number (1537905600).

Almost surely, 268884412160 is an apocalyptic number.

68884412160 is a gapful number since it is divisible by the number (60) 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 68884412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110729203200).

68884412160 is an abundant number, since it is smaller than the sum of its proper divisors (152573994240).

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

68884412160 is a wasteful number, since it uses less digits than its factorization.

68884412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118974 (or 118960 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 68884412160 in words is "sixty-eight billion, eight hundred eighty-four million, four hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 151 160 192 240 256 302 320 384 453 480 604 640 755 768 906 960 1208 1280 1510 1812 1920 2265 2416 3020 3624 3840 4530 4832 6040 7248 9060 9664 12080 14496 18120 19328 24160 28992 36240 38656 48320 57984 72480 96640 115968 118799 144960 193280 237598 289920 356397 475196 579840 593995 712794 950392 1187990 1425588 1781985 1900784 2375980 2851176 3563970 3801568 4751960 5702352 7127940 7603136 9503920 11404704 14255880 15206272 17938649 19007840 22809408 28511760 30412544 35877298 38015680 45618816 53815947 57023520 71754596 76031360 89693245 91237632 107631894 114047040 143509192 152062720 179386490 215263788 228094080 269079735 287018384 358772980 430527576 456188160 538159470 574036768 717545960 861055152 1076318940 1148073536 1435091920 1722110304 2152637880 2296147072 2870183840 3444220608 4305275760 4592294144 5740367680 6888441216 8610551520 11480735360 13776882432 17221103040 22961470720 34442206080 68884412160