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12863545890 = 23513174345121
BaseRepresentation
bin10111111101011101…
…00010001000100010
31020012111000211121120
423332232202020202
5202321031432030
65524234233110
7633525223146
oct137656421042
936174024546
1012863545890
115501155468
1225abb85796
1312a0036620
148a05a9226
1550449b010
hex2feba2222

12863545890 has 128 divisors (see below), whose sum is σ = 36022516992. Its totient is φ = 2910781440.

The previous prime is 12863545867. The next prime is 12863545897. The reversal of 12863545890 is 9854536821.

12863545890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (12863545897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262530 + ... + 307650.

It is an arithmetic number, because the mean of its divisors is an integer number (281425914).

Almost surely, 212863545890 is an apocalyptic number.

12863545890 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 12863545890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18011258496).

12863545890 is an abundant number, since it is smaller than the sum of its proper divisors (23158971102).

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

12863545890 is a wasteful number, since it uses less digits than its factorization.

12863545890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45204.

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 12863545890 in words is "twelve billion, eight hundred sixty-three million, five hundred forty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 43 51 65 78 85 86 102 129 130 170 195 215 221 255 258 390 430 442 510 559 645 663 731 1105 1118 1290 1326 1462 1677 2193 2210 2795 3315 3354 3655 4386 5590 6630 7310 8385 9503 10965 16770 19006 21930 28509 45121 47515 57018 90242 95030 135363 142545 225605 270726 285090 451210 586573 676815 767057 1173146 1353630 1534114 1759719 1940203 2301171 2932865 3519438 3835285 3880406 4602342 5820609 5865730 7670570 8798595 9701015 9971741 11505855 11641218 17597190 19402030 19943482 23011710 25222639 29103045 29915223 32983451 49858705 50445278 58206090 59830446 65966902 75667917 98950353 99717410 126113195 149576115 151335834 164917255 197900706 252226390 299152230 329834510 378339585 428784863 494751765 756679170 857569726 989503530 1286354589 2143924315 2572709178 4287848630 6431772945 12863545890