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12543476220 = 22325117980191
BaseRepresentation
bin10111010111010011…
…00100000111111100
31012101011202121120100
423223221210013330
5201142112214340
65432402121100
7622560534342
oct135351440774
935334677510
1012543476220
115357513380
122520950190
13124b92c7a2
1486dc8d992
154d6325830
hex2eba641fc

12543476220 has 144 divisors (see below), whose sum is σ = 42033438720. Its totient is φ = 3002313600.

The previous prime is 12543476201. The next prime is 12543476249. The reversal of 12543476220 is 2267434521.

12543476220 is a `hidden beast` number, since 1 + 25 + 4 + 3 + 4 + 7 + 622 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116325 + ... + 196515.

It is an arithmetic number, because the mean of its divisors is an integer number (291898880).

Almost surely, 212543476220 is an apocalyptic number.

12543476220 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 12543476220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21016719360).

12543476220 is an abundant number, since it is smaller than the sum of its proper divisors (29489962500).

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

12543476220 is a wasteful number, since it uses less digits than its factorization.

12543476220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80296 (or 80291 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 12543476220 in words is "twelve billion, five hundred forty-three million, four hundred seventy-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 79 90 99 110 132 158 165 180 198 220 237 316 330 395 396 474 495 660 711 790 869 948 990 1185 1422 1580 1738 1980 2370 2607 2844 3476 3555 4345 4740 5214 7110 7821 8690 10428 13035 14220 15642 17380 26070 31284 39105 52140 78210 80191 156420 160382 240573 320764 400955 481146 721719 801910 882101 962292 1202865 1443438 1603820 1764202 2405730 2646303 2886876 3528404 3608595 4410505 4811460 5292606 6335089 7217190 7938909 8821010 10585212 12670178 13231515 14434380 15877818 17642020 19005267 25340356 26463030 31675445 31755636 38010534 39694545 52926060 57015801 63350890 69685979 76021068 79389090 95026335 114031602 126701780 139371958 158778180 190052670 209057937 228063204 278743916 285079005 348429895 380105340 418115874 570158010 627173811 696859790 836231748 1045289685 1140316020 1254347622 1393719580 2090579370 2508695244 3135869055 4181158740 6271738110 12543476220