Search a number
-
+
13872866700 = 22352711600557
BaseRepresentation
bin11001110101110001…
…10010010110001100
31022210211020122110210
430322320302112030
5211402423213300
610212331402420
71000532264340
oct147270622614
938724218423
1013872866700
1159799650a0
122831bb3410
131401188184
14958661620
15562dbe050
hex33ae3258c

13872866700 has 144 divisors (see below), whose sum is σ = 50043297024. Its totient is φ = 2882668800.

The previous prime is 13872866681. The next prime is 13872866731. The reversal of 13872866700 is 766827831.

13872866700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13872866700.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 277179 + ... + 323378.

It is an arithmetic number, because the mean of its divisors is an integer number (347522896).

Almost surely, 213872866700 is an apocalyptic number.

13872866700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13872866700 is an abundant number, since it is smaller than the sum of its proper divisors (36170430324).

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

13872866700 is a wasteful number, since it uses less digits than its factorization.

13872866700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600592 (or 600585 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 13872866700 in words is "thirteen billion, eight hundred seventy-two million, eight hundred sixty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 600557 1201114 1801671 2402228 3002785 3603342 4203899 6005570 6606127 7206684 8407798 9008355 12011140 12611697 13212254 15013925 16815596 18016710 19818381 21019495 25223394 26424508 30027850 33030635 36033420 39636762 42038990 45041775 46242889 50446788 60055700 63058485 66061270 79273524 84077980 90083550 92485778 99091905 105097475 126116970 132122540 138728667 165153175 180167100 184971556 198183810 210194950 231214445 252233940 277457334 315292425 330306350 396367620 420389900 462428890 495459525 554914668 630584850 660612700 693643335 924857780 990919050 1156072225 1261169700 1387286670 1981838100 2312144450 2774573340 3468216675 4624288900 6936433350 13872866700