Search a number
-
+
2002666066020 = 22365137357069
BaseRepresentation
bin11101001001001000001…
…100110001000001100100
321002110020020112001000000
4131021020030301001210
5230302430003103040
64132002340021300
7264454634456214
oct35111014610144
97073206461000
102002666066020
1170236486a734
12284168991830
13116b099c9329
146cd029ac244
15371620ad130
hex1d248331064

2002666066020 has 84 divisors (see below), whose sum is σ = 6305513655420. Its totient is φ = 534044280384.

The previous prime is 2002666065947. The next prime is 2002666066043. The reversal of 2002666066020 is 206606662002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 482021941284 + 1520644124736 = 694278^2 + 1233144^2 .

It is a super-3 number, since 3×20026660660203 (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 68663955 + ... + 68693114.

It is an arithmetic number, because the mean of its divisors is an integer number (75065638755).

Almost surely, 22002666066020 is an apocalyptic number.

2002666066020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002666066020 is an abundant number, since it is smaller than the sum of its proper divisors (4302847589400).

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

2002666066020 is a wasteful number, since it uses less digits than its factorization.

2002666066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137357096 (or 137357079 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2002666066020 in words is "two trillion, two billion, six hundred sixty-six million, sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 137357069 274714138 412071207 549428276 686785345 824142414 1236213621 1373570690 1648284828 2060356035 2472427242 2747141380 3708640863 4120712070 4944854484 6181068105 7417281726 8241424140 11125922589 12362136210 14834563452 18543204315 22251845178 24724272420 33377767767 37086408630 44503690356 55629612945 66755535534 74172817260 100133303301 111259225890 133511071068 166888838835 200266606602 222518451780 333777677670 400533213204 500666516505 667555355340 1001333033010 2002666066020