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12960281500 = 2253172366293
BaseRepresentation
bin11000001000111111…
…00011001110011100
31020110020001111220221
430010133203032130
5203020313002000
65542011451124
7636111401155
oct140437431634
936406044827
1012960281500
115550817351
122618456aa4
1312b70a632a
148ad38a92c
1550cc0861a
hex3047e339c

12960281500 has 96 divisors (see below), whose sum is σ = 31273796736. Its totient is φ = 4666956800.

The previous prime is 12960281497. The next prime is 12960281513. The reversal of 12960281500 is 518206921.

12960281500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162354 + ... + 228646.

It is an arithmetic number, because the mean of its divisors is an integer number (325768716).

Almost surely, 212960281500 is an apocalyptic number.

12960281500 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 12960281500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636898368).

12960281500 is an abundant number, since it is smaller than the sum of its proper divisors (18313515236).

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

12960281500 is a wasteful number, since it uses less digits than its factorization.

12960281500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66352 (or 66340 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 12960281500 in words is "twelve billion, nine hundred sixty million, two hundred eighty-one thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 125 170 230 250 340 391 425 460 500 575 782 850 1150 1564 1700 1955 2125 2300 2875 3910 4250 5750 7820 8500 9775 11500 19550 39100 48875 66293 97750 132586 195500 265172 331465 662930 1126981 1325860 1524739 1657325 2253962 3049478 3314650 4507924 5634905 6098956 6629300 7623695 8286625 11269810 15247390 16573250 22539620 25920563 28174525 30494780 33146500 38118475 51841126 56349050 76236950 103682252 112698100 129602815 140872625 152473900 190592375 259205630 281745250 381184750 518411260 563490500 648014075 762369500 1296028150 2592056300 3240070375 6480140750 12960281500