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12728723772860 = 2253112713754301
BaseRepresentation
bin1011100100111010001100…
…0011110001010110111100
31200001212001122102100101122
42321032203003301112330
53132021411241212420
643023254525330112
72452422432616034
oct271164303612674
950055048370348
1012728723772860
114068248807157
121516ab3a06938
1371440c9bb414
14320105a388c4
15171183a5a725
hexb93a30f15bc

12728723772860 has 48 divisors (see below), whose sum is σ = 26826189429312. Its totient is φ = 5073240768000.

The previous prime is 12728723772851. The next prime is 12728723772881. The reversal of 12728723772860 is 6827732782721.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12728723772793 and 12728723772802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16497710 + ... + 17252010.

It is an arithmetic number, because the mean of its divisors is an integer number (558878946444).

Almost surely, 212728723772860 is an apocalyptic number.

12728723772860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12728723772860 is an abundant number, since it is smaller than the sum of its proper divisors (14097465656452).

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

12728723772860 is a wasteful number, since it uses less digits than its factorization.

12728723772860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757334 (or 757332 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 62.

The spelling of 12728723772860 in words is "twelve trillion, seven hundred twenty-eight billion, seven hundred twenty-three million, seven hundred seventy-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 311 622 1244 1555 2713 3110 5426 6220 10852 13565 27130 54260 754301 843743 1508602 1687486 3017204 3374972 3771505 4218715 7543010 8437430 15086020 16874860 234587611 469175222 938350444 1172938055 2046418613 2345876110 4092837226 4691752220 8185674452 10232093065 20464186130 40928372260 636436188643 1272872377286 2545744754572 3182180943215 6364361886430 12728723772860