Search a number
-
+
20067548002000 = 245310033774001
BaseRepresentation
bin1001001000000010101110…
…00100011111011011010000
32122001102211220221112121121
410210001113010133123100
510112241314242031000
6110402523154132024
74140555355406212
oct444012704373320
978042756845547
1020067548002000
116437665761784
122301285281014
13b27491737aa5
144d53bb35a5b2
1524c00a09db1a
hex12405711f6d0

20067548002000 has 40 divisors (see below), whose sum is σ = 48523331073672. Its totient is φ = 8027019200000.

The previous prime is 20067548001997. The next prime is 20067548002003. The reversal of 20067548002000 is 20084576002.

It is an interprime number because it is at equal distance from previous prime (20067548001997) and next prime (20067548002003).

It can be written as a sum of positive squares in 4 ways, for example, as 210578196544 + 19856969805456 = 458888^2 + 4456116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20067548002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5016885001 + ... + 5016889000.

Almost surely, 220067548002000 is an apocalyptic number.

20067548002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20067548002000 is an abundant number, since it is smaller than the sum of its proper divisors (28455783071672).

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

20067548002000 is a wasteful number, since it uses less digits than its factorization.

20067548002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033774024 (or 10033774008 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 20067548002000 in words is "twenty trillion, sixty-seven billion, five hundred forty-eight million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10033774001 20067548002 40135096004 50168870005 80270192008 100337740010 160540384016 200675480020 250844350025 401350960040 501688700050 802701920080 1003377400100 1254221750125 2006754800200 2508443500250 4013509600400 5016887000500 10033774001000 20067548002000