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12808807830 = 2345713173773
BaseRepresentation
bin10111110110111011…
…01110010110010110
31020001200000212010000
423323131232112112
5202213023322310
65515001112130
7632262033030
oct137335562626
936050025100
1012808807830
1154832689a5
122595788646
1312918ac740
148971dac50
154ee7874c0
hex2fb76e596

12808807830 has 160 divisors (see below), whose sum is σ = 42389734464. Its totient is φ = 2702502144.

The previous prime is 12808807787. The next prime is 12808807831. The reversal of 12808807830 is 3870880821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12808807831) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13177 + ... + 160596.

Almost surely, 212808807830 is an apocalyptic number.

12808807830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12808807830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194867232).

12808807830 is an abundant number, since it is smaller than the sum of its proper divisors (29580926634).

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

12808807830 is a wasteful number, since it uses less digits than its factorization.

12808807830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173812 (or 173803 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12808807830 in words is "twelve billion, eight hundred eight million, eight hundred seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1053 1134 1170 1365 1638 1755 1890 2106 2457 2730 2835 3510 4095 4914 5265 5670 7371 8190 10530 12285 14742 24570 36855 73710 173773 347546 521319 868865 1042638 1216411 1563957 1737730 2259049 2432822 2606595 3127914 3649233 4518098 4691871 5213190 6082055 6777147 7298466 7819785 9383742 10947699 11295245 12164110 13554294 14075613 15639570 15813343 18246165 20331441 21895398 22590490 23459355 28151226 31626686 32843097 33885735 36492330 40662882 46918710 47440029 54738495 60994323 65686194 67771470 70378065 79066715 94880058 98529291 101657205 109476990 121988646 140756130 142320087 158133430 164215485 182982969 197058582 203314410 237200145 284640174 304971615 328430970 365965938 426960261 474400290 492646455 609943230 711600435 853920522 914914845 985292910 1280880783 1423200870 1829829690 2134801305 2561761566 4269602610 6404403915 12808807830