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12620132602050 = 2352791830158193
BaseRepresentation
bin1011011110100101101010…
…0001010101000011000010
31122200110202201222022100110
42313221122201111003002
53123232012421231200
642501335303532150
72441526436113231
oct267513241250302
948613681868313
1012620132602050
114026193936296
1214b9a48a5a056
137070c534196c
14318b639c4b18
1516d42a49db50
hexb7a5a8550c2

12620132602050 has 96 divisors (see below), whose sum is σ = 31696381658880. Its totient is φ = 3322530432000.

The previous prime is 12620132602027. The next prime is 12620132602141. The reversal of 12620132602050 is 5020623102621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12620132601999 and 12620132602017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216837754 + ... + 216895946.

It is an arithmetic number, because the mean of its divisors is an integer number (330170642280).

Almost surely, 212620132602050 is an apocalyptic number.

12620132602050 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 12620132602050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15848190829440).

12620132602050 is an abundant number, since it is smaller than the sum of its proper divisors (19076249056830).

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

12620132602050 is a wasteful number, since it uses less digits than its factorization.

12620132602050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76588 (or 76583 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 12620132602050 its reverse (5020623102621), we get a palindrome (17640755704671).

The spelling of 12620132602050 in words is "twelve trillion, six hundred twenty billion, one hundred thirty-two million, six hundred two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 150 158 237 395 474 790 1185 1975 2370 3950 5925 11850 18301 36602 54903 58193 91505 109806 116386 174579 183010 274515 290965 349158 457525 549030 581930 872895 915050 1372575 1445779 1454825 1745790 2745150 2891558 2909650 4337337 4364475 4597247 7228895 8674674 8728950 9194494 13791741 14457790 21686685 22986235 27583482 36144475 43373370 45972470 68958705 72288950 108433425 114931175 137917410 216866850 229862350 344793525 689587050 1064990093 2129980186 3194970279 5324950465 6389940558 10649900930 15974851395 26624752325 31949702790 53249504650 79874256975 84134217347 159748513950 168268434694 252402652041 420671086735 504805304082 841342173470 1262013260205 2103355433675 2524026520410 4206710867350 6310066301025 12620132602050