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2066212566000 = 2432531122745971
BaseRepresentation
bin11110000100010011110…
…111011011001111110000
321022112020220110201010100
4132010103313123033300
5232323100404103000
64221112134032400
7302164450013052
oct36042367331760
97275226421110
102066212566000
11727304144710
122945424a8700
1311cac61240cb
14720104858d2
1538b30d55a00
hex1e113ddb3f0

2066212566000 has 480 divisors, whose sum is σ = 7907498816256. Its totient is φ = 498682560000.

The previous prime is 2066212565981. The next prime is 2066212566007. The reversal of 2066212566000 is 6652126602.

2066212566000 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 21 + 25 + 6 + 600 + 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 not an unprimeable number, because it can be changed into a prime (2066212566007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44923015 + ... + 44968985.

Almost surely, 22066212566000 is an apocalyptic number.

2066212566000 is a gapful number since it is divisible by the number (20) 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 2066212566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953749408128).

2066212566000 is an abundant number, since it is smaller than the sum of its proper divisors (5841286250256).

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

2066212566000 is a wasteful number, since it uses less digits than its factorization.

2066212566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46238 (or 46219 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2066212566000 in words is "two trillion, sixty-six billion, two hundred twelve million, five hundred sixty-six thousand".