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19152223120 = 2451733194243
BaseRepresentation
bin10001110101100011…
…111011101110010000
31211102202021202000001
4101311203323232100
5303210432114440
612444242335344
71245416132122
oct216543735620
954382252001
1019152223120
118138a26778
12386605a554
131a62b67504
14cd9881212
15771607b9a
hex4758fbb90

19152223120 has 80 divisors (see below), whose sum is σ = 47173587840. Its totient is φ = 7206377472.

The previous prime is 19152223093. The next prime is 19152223127. The reversal of 19152223120 is 2132225191.

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

It is not an unprimeable number, because it can be changed into a prime (19152223127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4511719 + ... + 4515961.

It is an arithmetic number, because the mean of its divisors is an integer number (589669848).

Almost surely, 219152223120 is an apocalyptic number.

19152223120 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 19152223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23586793920).

19152223120 is an abundant number, since it is smaller than the sum of its proper divisors (28021364720).

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

19152223120 is a wasteful number, since it uses less digits than its factorization.

19152223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7592 (or 7586 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 19152223120 in words is "nineteen billion, one hundred fifty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 3319 4243 6638 8486 13276 16595 16972 21215 26552 33190 33944 42430 53104 56423 66380 67888 72131 84860 112846 132760 144262 169720 225692 265520 282115 288524 339440 360655 451384 564230 577048 721310 902768 1128460 1154096 1442620 2256920 2885240 4513840 5770480 14082517 28165034 56330068 70412585 112660136 140825170 225320272 239402789 281650340 478805578 563300680 957611156 1126601360 1197013945 1915222312 2394027890 3830444624 4788055780 9576111560 19152223120