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109928012080 = 24515126933829
BaseRepresentation
bin110011001100000111…
…0000101100100110000
3101111202001221121111211
41212120032011210300
53300113032341310
6122300014445504
710641055454065
oct1463016054460
9344661847454
10109928012080
1142690551567
121937a803894
13a49b6135c3
14546b804c6c
152cd5b27c8a
hex1998385930

109928012080 has 80 divisors (see below), whose sum is σ = 258239275200. Its totient is φ = 43516339200.

The previous prime is 109928012041. The next prime is 109928012087. The reversal of 109928012080 is 80210829901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (109928012087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3232606 + ... + 3266434.

It is an arithmetic number, because the mean of its divisors is an integer number (3227990940).

Almost surely, 2109928012080 is an apocalyptic number.

109928012080 is a gapful number since it is divisible by the number (10) 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 109928012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129119637600).

109928012080 is an abundant number, since it is smaller than the sum of its proper divisors (148311263120).

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

109928012080 is a wasteful number, since it uses less digits than its factorization.

109928012080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34262 (or 34256 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The spelling of 109928012080 in words is "one hundred nine billion, nine hundred twenty-eight million, twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 269 302 538 604 755 1076 1208 1345 1510 2152 2416 2690 3020 4304 5380 6040 10760 12080 21520 33829 40619 67658 81238 135316 162476 169145 203095 270632 324952 338290 406190 541264 649904 676580 812380 1353160 1624760 2706320 3249520 5108179 9100001 10216358 18200002 20432716 25540895 36400004 40865432 45500005 51081790 72800008 81730864 91000010 102163580 145600016 182000020 204327160 364000040 408654320 728000080 1374100151 2748200302 5496400604 6870500755 10992801208 13741001510 21985602416 27482003020 54964006040 109928012080