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12768927210 = 2335137946049
BaseRepresentation
bin10111110010001011…
…00101110111101010
31012221212222201012000
423321011211313222
5202122321132320
65511014231430
7631266043014
oct137105456752
935855881160
1012768927210
1154627aa006
122584355576
131286558340
14891bb91b4
154eb00ac90
hex2f9165dea

12768927210 has 128 divisors (see below), whose sum is σ = 37134720000. Its totient is φ = 3103266816.

The previous prime is 12768927191. The next prime is 12768927221. The reversal of 12768927210 is 1272986721.

It is a happy number.

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

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, 254266 + ... + 300314.

It is an arithmetic number, because the mean of its divisors is an integer number (290115000).

Almost surely, 212768927210 is an apocalyptic number.

12768927210 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 12768927210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567360000).

12768927210 is an abundant number, since it is smaller than the sum of its proper divisors (24365792790).

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

12768927210 is a wasteful number, since it uses less digits than its factorization.

12768927210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46157 (or 46151 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12768927210 in words is "twelve billion, seven hundred sixty-eight million, nine hundred twenty-seven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 79 90 117 130 135 158 195 234 237 270 351 390 395 474 585 702 711 790 1027 1170 1185 1422 1755 2054 2133 2370 3081 3510 3555 4266 5135 6162 7110 9243 10270 10665 15405 18486 21330 27729 30810 46049 46215 55458 92098 92430 138147 138645 230245 276294 277290 414441 460490 598637 690735 828882 1197274 1243323 1381470 1795911 2072205 2486646 2993185 3591822 3637871 4144410 5387733 5986370 6216615 7275742 8979555 10775466 10913613 12433230 16163199 17959110 18189355 21827226 26938665 32326398 32740839 36378710 47292323 53877330 54568065 65481678 80815995 94584646 98222517 109136130 141876969 161631990 163704195 196445034 236461615 283753938 327408390 425630907 472923230 491112585 709384845 851261814 982225170 1276892721 1418769690 2128154535 2553785442 4256309070 6384463605 12768927210