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12983233760 = 255727741849
BaseRepresentation
bin11000001011101110…
…00110110011100000
31020111211020121111122
430011313012303200
5203042201440020
65544151431412
7636510444320
oct140567066340
936454217448
1012983233760
115562773762
122624085568
1312bba81453
148b2443280
1550ec3e125
hex305dc6ce0

12983233760 has 96 divisors (see below), whose sum is σ = 35182123200. Its totient is φ = 4435218432.

The previous prime is 12983233751. The next prime is 12983233771. The reversal of 12983233760 is 6733238921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289316 + ... + 331164.

It is an arithmetic number, because the mean of its divisors is an integer number (366480450).

Almost surely, 212983233760 is an apocalyptic number.

12983233760 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 12983233760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591061600).

12983233760 is an abundant number, since it is smaller than the sum of its proper divisors (22198889440).

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

12983233760 is a wasteful number, since it uses less digits than its factorization.

12983233760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42148 (or 42140 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 12983233760 in words is "twelve billion, nine hundred eighty-three million, two hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 277 280 554 560 1108 1120 1385 1939 2216 2770 3878 4432 5540 7756 8864 9695 11080 15512 19390 22160 31024 38780 41849 44320 62048 77560 83698 155120 167396 209245 292943 310240 334792 418490 585886 669584 836980 1171772 1339168 1464715 1673960 2343544 2929430 3347920 4687088 5858860 6695840 9374176 11592173 11717720 23184346 23435440 46368692 46870880 57960865 81145211 92737384 115921730 162290422 185474768 231843460 324580844 370949536 405726055 463686920 649161688 811452110 927373840 1298323376 1622904220 1854747680 2596646752 3245808440 6491616880 12983233760