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12864850507520 = 285117871160987
BaseRepresentation
bin1011101100110101010011…
…0110000011011100000000
31200112212102112212221221222
42323031110312003130000
53141234203212220040
643210010345534212
72465311663022414
oct273152466033400
950485375787858
1012864850507520
11410aa527a8760
1215393644a4368
137241c4ca311b
1432693aaa2d44
1517499e6dcbb5
hexbb354d83700

12864850507520 has 144 divisors (see below), whose sum is σ = 33659475550848. Its totient is φ = 4672179179520.

The previous prime is 12864850507513. The next prime is 12864850507529. The reversal of 12864850507520 is 2570505846821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12864850507529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10500467 + ... + 11661453.

It is an arithmetic number, because the mean of its divisors is an integer number (233746357992).

Almost surely, 212864850507520 is an apocalyptic number.

12864850507520 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 12864850507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829737775424).

12864850507520 is an abundant number, since it is smaller than the sum of its proper divisors (20794625043328).

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

12864850507520 is a wasteful number, since it uses less digits than its factorization.

12864850507520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161806 (or 1161792 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 53.

The spelling of 12864850507520 in words is "twelve trillion, eight hundred sixty-four billion, eight hundred fifty million, five hundred seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 787 880 1280 1408 1574 1760 2816 3148 3520 3935 6296 7040 7870 8657 12592 14080 15740 17314 25184 31480 34628 43285 50368 62960 69256 86570 100736 125920 138512 173140 201472 251840 277024 346280 503680 554048 692560 1007360 1108096 1160987 1385120 2216192 2321974 2770240 4643948 5540480 5804935 9287896 11080960 11609870 12770857 18575792 23219740 25541714 37151584 46439480 51083428 63854285 74303168 92878960 102166856 127708570 148606336 185757920 204333712 255417140 297212672 371515840 408667424 510834280 743031680 817334848 913696769 1021668560 1486063360 1634669696 1827393538 2043337120 3269339392 3654787076 4086674240 4568483845 7309574152 8173348480 9136967690 10050664459 14619148304 16346696960 18273935380 20101328918 29238296608 36547870760 40202657836 50253322295 58476593216 73095741520 80405315672 100506644590 116953186432 146191483040 160810631344 201013289180 233906372864 292382966080 321621262688 402026578360 584765932160 643242525376 804053156720 1169531864320 1286485050752 1608106313440 2572970101504 3216212626880 6432425253760 12864850507520