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4201063020 = 223257211194353
BaseRepresentation
bin1111101001100111…
…0010001001101100
3101211210001010001200
43322121302021230
532100433004040
61532511205500
7206051306100
oct37231621154
911753033050
104201063020
111866432910
12992b16890
1351c48b80b
142bbd31900
15198c3e630
hexfa67226c

4201063020 has 864 divisors, whose sum is σ = 17747009280. Its totient is φ = 792529920.

The previous prime is 4201063019. The next prime is 4201063049. The reversal of 4201063020 is 203601024.

It is a happy number.

4201063020 is a `hidden beast` number, since 4 + 2 + 0 + 10 + 630 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4201062984 and 4201063002.

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 287 ways as a sum of consecutive naturals, for example, 79265314 + ... + 79265366.

It is an arithmetic number, because the mean of its divisors is an integer number (20540520).

Almost surely, 24201063020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201063020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873504640).

4201063020 is an abundant number, since it is smaller than the sum of its proper divisors (13545946260).

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

4201063020 is a wasteful number, since it uses less digits than its factorization.

4201063020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4201063020 is about 64815.6078425559. The cubic root of 4201063020 is about 1613.5647541390.

Adding to 4201063020 its reverse (203601024), we get a palindrome (4404664044).

The spelling of 4201063020 in words is "four billion, two hundred one million, sixty-three thousand, twenty".