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260012966120 = 235171193320513
BaseRepresentation
bin1111001000100111111…
…0110000000011101000
3220212010202021020102022
43302021332300003220
513230001304403440
6315240500124012
724533235513545
oct3621176600350
9825122236368
10260012966120
11a02a85a4966
1242485996608
131b69966900b
14c82858bbcc
156b6bdd8cb5
hex3c89fb00e8

260012966120 has 64 divisors (see below), whose sum is σ = 619963819920. Its totient is φ = 97804877824.

The previous prime is 260012966117. The next prime is 260012966153. The reversal of 260012966120 is 21669210062.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 115644884356 + 144368081764 = 340066^2 + 379958^2 .

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, 650984 + ... + 971496.

Almost surely, 2260012966120 is an apocalyptic number.

260012966120 is a gapful number since it is divisible by the number (20) 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 260012966120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309981909960).

260012966120 is an abundant number, since it is smaller than the sum of its proper divisors (359950853800).

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

260012966120 is a wasteful number, since it uses less digits than its factorization.

260012966120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321734 (or 321730 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 260012966120 in words is "two hundred sixty billion, twelve million, nine hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1193 2386 4772 5965 9544 11930 20281 23860 40562 47720 81124 101405 162248 202810 320513 405620 641026 811240 1282052 1602565 2564104 3205130 5448721 6410260 10897442 12820520 21794884 27243605 43589768 54487210 108974420 217948840 382372009 764744018 1529488036 1911860045 3058976072 3823720090 6500324153 7647440180 13000648306 15294880360 26001296612 32501620765 52002593224 65003241530 130006483060 260012966120