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2001838381820 = 225397909127733
BaseRepresentation
bin11101001000010110110…
…111011001101011111100
321002101002120002022201122
4131020112313121223330
5230244231111204240
64131344251530112
7264425264330564
oct35102667315374
97071076068648
102001838381820
11701a7a640302
12283b77759938
13116a073a2574
146cc64ab7da4
15371145b84b5
hex1d216dd9afc

2001838381820 has 48 divisors (see below), whose sum is σ = 4215065238048. Its totient is φ = 798601731840.

The previous prime is 2001838381817. The next prime is 2001838381831. The reversal of 2001838381820 is 281838381002.

It is a super-2 number, since 2×20018383818202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72168674 + ... + 72196406.

It is an arithmetic number, because the mean of its divisors is an integer number (87813859126).

Almost surely, 22001838381820 is an apocalyptic number.

2001838381820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001838381820 is an abundant number, since it is smaller than the sum of its proper divisors (2213226856228).

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

2001838381820 is a wasteful number, since it uses less digits than its factorization.

2001838381820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37230 (or 37228 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 2001838381820 in words is "two trillion, one billion, eight hundred thirty-eight million, three hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 397 794 1588 1985 3970 7940 9091 18182 27733 36364 45455 55466 90910 110932 138665 181820 277330 554660 3609127 7218254 11010001 14436508 18045635 22020002 36091270 44040004 55050005 72182540 110100010 220200020 252120703 504241406 1008482812 1260603515 2521207030 5042414060 100091919091 200183838182 400367676364 500459595455 1000919190910 2001838381820