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68823199104 = 2731116293371
BaseRepresentation
bin100000000011000101…
…1101010110110000000
320120122101222202112020
41000012023222312000
52111422214332404
651341132001440
74654334353152
oct1000613526600
9216571882466
1068823199104
11272079a1150
1211408900280
13664a6b676a
14348c604ad2
151bcc158ed9
hex10062ead80

68823199104 has 64 divisors (see below), whose sum is σ = 199430873280. Its totient is φ = 20855513600.

The previous prime is 68823199063. The next prime is 68823199111. The reversal of 68823199104 is 40199132886.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8142462 + ... + 8150909.

It is an arithmetic number, because the mean of its divisors is an integer number (3116107395).

Almost surely, 268823199104 is an apocalyptic number.

68823199104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

68823199104 is an abundant number, since it is smaller than the sum of its proper divisors (130607674176).

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

68823199104 is a wasteful number, since it uses less digits than its factorization.

68823199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16293399 (or 16293387 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 68823199104 in words is "sixty-eight billion, eight hundred twenty-three million, one hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 16293371 32586742 48880113 65173484 97760226 130346968 179227081 195520452 260693936 358454162 391040904 521387872 537681243 716908324 782081808 1042775744 1075362486 1433816648 1564163616 2085551488 2150724972 2867633296 3128327232 4301449944 5735266592 6256654464 8602899888 11470533184 17205799776 22941066368 34411599552 68823199104