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68821128648 = 23323137833347
BaseRepresentation
bin100000000011000001…
…1110001010111001000
320120122021002120101200
41000012003301113020
52111421202104043
651341015344200
74654310640636
oct1000603612710
9216567076350
1068821128648
1127206807628
1211408082060
13664a14023c
14348c226356
151bcbd9a7d3
hex10060f15c8

68821128648 has 96 divisors (see below), whose sum is σ = 197603477760. Its totient is φ = 21600328320.

The previous prime is 68821128601. The next prime is 68821128653. The reversal of 68821128648 is 84682112886.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68821128594 and 68821128603.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 334090 + ... + 499257.

It is an arithmetic number, because the mean of its divisors is an integer number (2058369560).

Almost surely, 268821128648 is an apocalyptic number.

It is an amenable number.

68821128648 is an abundant number, since it is smaller than the sum of its proper divisors (128782349112).

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

68821128648 is a wasteful number, since it uses less digits than its factorization.

68821128648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833427 (or 833420 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 68821128648 in words is "sixty-eight billion, eight hundred twenty-one million, one hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 222 248 279 296 333 372 444 558 666 744 888 1116 1147 1332 2232 2294 2664 3441 4588 6882 9176 10323 13764 20646 27528 41292 82584 833347 1666694 2500041 3333388 5000082 6666776 7500123 10000164 15000246 20000328 25833757 30000492 30833839 51667514 60000984 61667678 77501271 92501517 103335028 123335356 155002542 185003034 206670056 232503813 246670712 277504551 310005084 370006068 465007626 555009102 620010168 740012136 930015252 955849009 1110018204 1860030504 1911698018 2220036408 2867547027 3823396036 5735094054 7646792072 8602641081 11470188108 17205282162 22940376216 34410564324 68821128648