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2066225792148 = 2232731241208099
BaseRepresentation
bin11110000100010100101…
…001111000010010010100
321022112021211100122222200
4132010110221320102110
5232323112300322043
64221113325324500
7302165000310210
oct36042451702224
97275254318880
102066225792148
11727310658711
12294546a06730
1311cac8aa522b
1472012129940
1538b320b97d3
hex1e114a78494

2066225792148 has 216 divisors, whose sum is σ = 6318325540800. Its totient is φ = 557369683200.

The previous prime is 2066225792131. The next prime is 2066225792227. The reversal of 2066225792148 is 8412975226602.

2066225792148 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 2 + 2 + 579 + 21 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2066225792094 and 2066225792103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9825003 + ... + 10033101.

Almost surely, 22066225792148 is an apocalyptic number.

2066225792148 is a gapful number since it is divisible by the number (28) 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 2066225792148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159162770400).

2066225792148 is an abundant number, since it is smaller than the sum of its proper divisors (4252099748652).

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

2066225792148 is a wasteful number, since it uses less digits than its factorization.

2066225792148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208219 (or 208183 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2066225792148 in words is "two trillion, sixty-six billion, two hundred twenty-five million, seven hundred ninety-two thousand, one hundred forty-eight".