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12448585520 = 245729375869
BaseRepresentation
bin10111001011111111…
…00101011100110000
31012010120012122222222
423211333211130300
5200443314214040
65415132220212
7620326142150
oct134577453460
935116178888
1012448585520
1153089a1608
1224b500a668
131235087747
1486142c760
154ccd2ebb5
hex2e5fe5730

12448585520 has 80 divisors (see below), whose sum is σ = 33191000640. Its totient is φ = 4253463552.

The previous prime is 12448585507. The next prime is 12448585549. The reversal of 12448585520 is 2558584421.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126146 + ... + 202014.

It is an arithmetic number, because the mean of its divisors is an integer number (414887508).

Almost surely, 212448585520 is an apocalyptic number.

12448585520 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 12448585520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595500320).

12448585520 is an abundant number, since it is smaller than the sum of its proper divisors (20742415120).

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

12448585520 is a wasteful number, since it uses less digits than its factorization.

12448585520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76182 (or 76176 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 44.

The spelling of 12448585520 in words is "twelve billion, four hundred forty-eight million, five hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 293 560 586 1172 1465 2051 2344 2930 4102 4688 5860 8204 10255 11720 16408 20510 23440 32816 41020 75869 82040 151738 164080 303476 379345 531083 606952 758690 1062166 1213904 1517380 2124332 2655415 3034760 4248664 5310830 6069520 8497328 10621660 21243320 22229617 42486640 44459234 88918468 111148085 155607319 177836936 222296170 311214638 355673872 444592340 622429276 778036595 889184680 1244858552 1556073190 1778369360 2489717104 3112146380 6224292760 12448585520