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12809298960 = 243355930231
BaseRepresentation
bin10111110110111111…
…00110010000010000
31020001200221210211000
423323133212100100
5202213140031320
65515015422000
7632266146633
oct137337462020
936050853730
1012809298960
115483573997
122595984900
131291a22153
148972c7c1a
154ee832c90
hex2fb7e6410

12809298960 has 80 divisors (see below), whose sum is σ = 44120926080. Its totient is φ = 3415812480.

The previous prime is 12809298947. The next prime is 12809298961. The reversal of 12809298960 is 6989290821.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12809298897 and 12809298906.

It is not an unprimeable number, because it can be changed into a prime (12809298961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2962956 + ... + 2967275.

It is an arithmetic number, because the mean of its divisors is an integer number (551511576).

Almost surely, 212809298960 is an apocalyptic number.

12809298960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12809298960 is an abundant number, since it is smaller than the sum of its proper divisors (31311627120).

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

12809298960 is a wasteful number, since it uses less digits than its factorization.

12809298960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930253 (or 5930241 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 12809298960 in words is "twelve billion, eight hundred nine million, two hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5930231 11860462 17790693 23720924 29651155 35581386 47441848 53372079 59302310 71162772 88953465 94883696 106744158 118604620 142325544 160116237 177906930 213488316 237209240 266860395 284651088 320232474 355813860 426976632 474418480 533720790 640464948 711627720 800581185 853953264 1067441580 1280929896 1423255440 1601162370 2134883160 2561859792 3202324740 4269766320 6404649480 12809298960