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12870882990 = 234575214357
BaseRepresentation
bin10111111110010101…
…00001011010101110
31020012222211121020000
423333022201122232
5202324421223430
65525055405130
7633644462130
oct137712413256
936188747200
1012870882990
115505306989
1225b25237a6
1312a17050c4
148a1559050
15504e49e60
hex2ff2a16ae

12870882990 has 160 divisors (see below), whose sum is σ = 39637439424. Its totient is φ = 2935595520.

The previous prime is 12870882889. The next prime is 12870883019. The reversal of 12870882990 is 9928807821.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2951892 + ... + 2956248.

Almost surely, 212870882990 is an apocalyptic number.

12870882990 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 12870882990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19818719712).

12870882990 is an abundant number, since it is smaller than the sum of its proper divisors (26766556434).

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

12870882990 is a wasteful number, since it uses less digits than its factorization.

12870882990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 12870882990 in words is "twelve billion, eight hundred seventy million, eight hundred eighty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 521 567 630 810 945 1042 1134 1563 1890 2605 2835 3126 3647 4357 4689 5210 5670 7294 7815 8714 9378 10941 13071 14067 15630 18235 21785 21882 23445 26142 28134 30499 32823 36470 39213 42201 43570 46890 54705 60998 65355 65646 70335 78426 84402 91497 98469 109410 117639 130710 140670 152495 164115 182994 196065 196938 211005 235278 274491 295407 304990 328230 352917 392130 422010 457485 492345 548982 588195 590814 705834 823473 914970 984690 1176390 1372455 1477035 1646946 1764585 2269997 2470419 2744910 2954070 3529170 4117365 4539994 4940838 6809991 8234730 11349985 12352095 13619982 15889979 20429973 22699970 24704190 31779958 34049955 40859946 47669937 61289919 68099910 79449895 95339874 102149865 122579838 143009811 158899790 183869757 204299730 238349685 286019622 306449595 367739514 429029433 476699370 612899190 715049055 858058866 919348785 1287088299 1430098110 1838697570 2145147165 2574176598 4290294330 6435441495 12870882990