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12761808920 = 235736713883
BaseRepresentation
bin10111110001010100…
…11100000000011000
31012221101121001201122
423320222130000120
5202114010341140
65510201504412
7631151405000
oct137052340030
935841531648
1012761808920
115459787a23
122581aa2108
131284c35333
14890c85000
154ea5a1ab5
hex2f8a9c018

12761808920 has 128 divisors (see below), whose sum is σ = 33988032000. Its totient is φ = 4309861248.

The previous prime is 12761808919. The next prime is 12761808947. The reversal of 12761808920 is 2980816721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912299 + ... + 926181.

It is an arithmetic number, because the mean of its divisors is an integer number (265531500).

Almost surely, 212761808920 is an apocalyptic number.

12761808920 is a gapful number since it is divisible by the number (10) 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 12761808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994016000).

12761808920 is an abundant number, since it is smaller than the sum of its proper divisors (21226223080).

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

12761808920 is a wasteful number, since it uses less digits than its factorization.

12761808920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13982 (or 13964 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 12761808920 in words is "twelve billion, seven hundred sixty-one million, eight hundred eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 67 70 98 134 140 196 245 268 280 335 343 392 469 490 536 670 686 938 980 1340 1372 1715 1876 1960 2345 2680 2744 3283 3430 3752 4690 6566 6860 9380 13132 13720 13883 16415 18760 22981 26264 27766 32830 45962 55532 65660 69415 91924 97181 111064 114905 131320 138830 183848 194362 229810 277660 388724 459620 485905 555320 680267 777448 919240 930161 971810 1360534 1860322 1943620 2721068 3401335 3720644 3887240 4650805 4761869 5442136 6511127 6802670 7441288 9301610 9523738 13022254 13605340 18603220 19047476 23809345 26044508 27210680 32555635 37206440 38094952 45577889 47618690 52089016 65111270 91155778 95237380 130222540 182311556 190474760 227889445 260445080 319045223 364623112 455778890 638090446 911557780 1276180892 1595226115 1823115560 2552361784 3190452230 6380904460 12761808920