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2006183240820 = 22325111013223859
BaseRepresentation
bin11101001100011001110…
…101101110010001110100
321002210022100201000210100
4131030121311232101310
5230332130402201240
64133343341154100
7264641043120153
oct35143165562164
97083270630710
102006183240820
117038aa158170
1228498a85b930
1311724a59a155
146d157b5b59a
15372bac5de30
hex1d319d6e474

2006183240820 has 72 divisors (see below), whose sum is σ = 6638642730720. Its totient is φ = 486347451840.

The previous prime is 2006183240801. The next prime is 2006183240821. The reversal of 2006183240820 is 280423816002.

2006183240820 is a `hidden beast` number, since 2 + 0 + 0 + 618 + 32 + 4 + 0 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×20061832408202 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006183240821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506609950 + ... + 506613909.

It is an arithmetic number, because the mean of its divisors is an integer number (92203371260).

Almost surely, 22006183240820 is an apocalyptic number.

2006183240820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006183240820 is an abundant number, since it is smaller than the sum of its proper divisors (4632459489900).

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

2006183240820 is a wasteful number, since it uses less digits than its factorization.

2006183240820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013223885 (or 1013223880 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2006183240820 in words is "two trillion, six billion, one hundred eighty-three million, two hundred forty thousand, eight 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 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1013223859 2026447718 3039671577 4052895436 5066119295 6079343154 9119014731 10132238590 11145462449 12158686308 15198357885 18238029462 20264477180 22290924898 30396715770 33436387347 36476058924 44581849796 45595073655 55727312245 60793431540 66872774694 91190147310 100309162041 111454624490 133745549388 167181936735 182380294620 200618324082 222909248980 334363873470 401236648164 501545810205 668727746940 1003091620410 2006183240820