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12339235080 = 2332537225037
BaseRepresentation
bin10110111110111100…
…11100100100001000
31011211221110002101200
423133132130210020
5200232321010310
65400224344200
7614530524204
oct133736344410
934757402350
1012339235080
1152621a3a47
122484475060
13121851bc43
14850ac5b04
154c342e9c0
hex2df79c908

12339235080 has 144 divisors (see below), whose sum is σ = 41217305220. Its totient is φ = 3201403392.

The previous prime is 12339235079. The next prime is 12339235141. The reversal of 12339235080 is 8053293321.

12339235080 is a `hidden beast` number, since 12 + 339 + 235 + 0 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10429719876 + 1909515204 = 102126^2 + 43698^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 480322 + ... + 505358.

Almost surely, 212339235080 is an apocalyptic number.

12339235080 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 12339235080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20608652610).

12339235080 is an abundant number, since it is smaller than the sum of its proper divisors (28878070140).

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

12339235080 is a wasteful number, since it uses less digits than its factorization.

12339235080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25128 (or 25084 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12339235080 in words is "twelve billion, three hundred thirty-nine million, two hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1369 1480 1665 2220 2664 2738 3330 4107 4440 5476 6660 6845 8214 10952 12321 13320 13690 16428 20535 24642 25037 27380 32856 41070 49284 50074 54760 61605 75111 82140 98568 100148 123210 125185 150222 164280 200296 225333 246420 250370 300444 375555 450666 492840 500740 600888 751110 901332 926369 1001480 1126665 1502220 1802664 1852738 2253330 2779107 3004440 3705476 4506660 4631845 5558214 7410952 8337321 9013320 9263690 11116428 13895535 16674642 18527380 22232856 27791070 33349284 34275653 37054760 41686605 55582140 66698568 68551306 83373210 102826959 111164280 137102612 166746420 171378265 205653918 274205224 308480877 333492840 342756530 411307836 514134795 616961754 685513060 822615672 1028269590 1233923508 1371026120 1542404385 2056539180 2467847016 3084808770 4113078360 6169617540 12339235080