Search a number
-
+
20567552000000 = 21556172139
BaseRepresentation
bin1001010110100110000011…
…01000011000000000000000
32200211020110001200101002012
410223103001220120000000
510143434321303000000
6111424334123112052
74221646053306545
oct453230150300000
980736401611065
1020567552000000
11660a7169aaa05
122382167672628
13b62686655535
14511690d00bcc
1525a021221735
hex12b4c1a18000

20567552000000 has 672 divisors, whose sum is σ = 55012856373300. Its totient is φ = 7687372800000.

The previous prime is 20567551999963. The next prime is 20567552000003. The reversal of 20567552000000 is 25576502.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20567552000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 147967999931 + ... + 147968000069.

Almost surely, 220567552000000 is an apocalyptic number.

20567552000000 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 20567552000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27506428186650).

20567552000000 is an abundant number, since it is smaller than the sum of its proper divisors (34445304373300).

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

20567552000000 is an frugal number, since it uses more digits than its factorization.

20567552000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

Adding to 20567552000000 its reverse (25576502), we get a palindrome (20567577576502).

The spelling of 20567552000000 in words is "twenty trillion, five hundred sixty-seven billion, five hundred fifty-two million", and thus it is an aban number.