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12796198290 = 2335319715761
BaseRepresentation
bin10111110101011011…
…00111110110010010
31020000210022020002000
423322231213312102
5202201311321130
65513430534430
7632046614361
oct137255476622
936023266060
1012796198290
115477136197
122591507416
13128c0b6185
148956777d8
154ed5e6260
hex2fab67d92

12796198290 has 128 divisors (see below), whose sum is σ = 35589335040. Its totient is φ = 3267993600.

The previous prime is 12796198271. The next prime is 12796198313. The reversal of 12796198290 is 9289169721.

12796198290 is a `hidden beast` number, since 12 + 7 + 9 + 619 + 8 + 2 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 804010 + ... + 819770.

It is an arithmetic number, because the mean of its divisors is an integer number (278041680).

Almost surely, 212796198290 is an apocalyptic number.

12796198290 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 12796198290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794667520).

12796198290 is an abundant number, since it is smaller than the sum of its proper divisors (22793136750).

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

12796198290 is a wasteful number, since it uses less digits than its factorization.

12796198290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15905 (or 15899 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 12796198290 in words is "twelve billion, seven hundred ninety-six million, one hundred ninety-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 97 135 155 186 194 270 279 291 310 465 485 558 582 837 873 930 970 1395 1455 1674 1746 2619 2790 2910 3007 4185 4365 5238 6014 8370 8730 9021 13095 15035 15761 18042 26190 27063 30070 31522 45105 47283 54126 78805 81189 90210 94566 135315 141849 157610 162378 236415 270630 283698 405945 425547 472830 488591 709245 811890 851094 977182 1418490 1465773 1528817 2127735 2442955 2931546 3057634 4255470 4397319 4586451 4885910 7328865 7644085 8794638 9172902 13191957 13759353 14657730 15288170 21986595 22932255 26383914 27518706 41278059 43973190 45864510 47393327 65959785 68796765 82556118 94786654 131919570 137593530 142179981 206390295 236966635 284359962 412780590 426539943 473933270 710899905 853079886 1279619829 1421799810 2132699715 2559239658 4265399430 6398099145 12796198290