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12987826650 = 23252315211787
BaseRepresentation
bin11000001100010001…
…01000000111011010
31020112010212221202200
430012020220013122
5203044340423100
65544434111030
7636564463551
oct140610500732
936463787680
1012987826650
115565320437
12262571b476
1312bc9cbb36
148b2cbad98
15510349e00
hex3062281da

12987826650 has 144 divisors (see below), whose sum is σ = 36108903168. Its totient is φ = 3343392000.

The previous prime is 12987826613. The next prime is 12987826667. The reversal of 12987826650 is 5662878921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7267057 + ... + 7268843.

It is an arithmetic number, because the mean of its divisors is an integer number (250756272).

Almost surely, 212987826650 is an apocalyptic number.

12987826650 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 12987826650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18054451584).

12987826650 is an abundant number, since it is smaller than the sum of its proper divisors (23121076518).

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

12987826650 is a wasteful number, since it uses less digits than its factorization.

12987826650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12987826650 in words is "twelve billion, nine hundred eighty-seven million, eight hundred twenty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 521 558 775 930 1042 1395 1550 1563 1787 2325 2605 2790 3126 3574 4650 4689 5210 5361 6975 7815 8935 9378 10722 13025 13950 15630 16083 16151 17870 23445 26050 26805 32166 32302 39075 44675 46890 48453 53610 55397 78150 80415 80755 89350 96906 110794 117225 134025 145359 160830 161510 166191 234450 242265 268050 276985 290718 332382 402075 403775 484530 498573 553970 726795 804150 807550 830955 931027 997146 1211325 1384925 1453590 1661910 1862054 2422650 2492865 2769850 2793081 3633975 4154775 4655135 4985730 5586162 7267950 8309550 8379243 9310270 12464325 13965405 16758486 23275675 24928650 27930810 28861837 41896215 46551350 57723674 69827025 83792430 86585511 139654050 144309185 173171022 209481075 259756533 288618370 418962150 432927555 519513066 721545925 865855110 1298782665 1443091850 2164637775 2597565330 4329275550 6493913325 12987826650