Search a number
-
+
20266429547520 = 210365131779311
BaseRepresentation
bin1001001101110101001010…
…10101011000010000000000
32122202110012022122212000000
410212322211111120100000
510124021121431010040
6111034134052000000
74161126005556042
oct446724525302000
978673168585000
1020266429547520
116503a43153532
12233392a300000
13b40168114480
14500c86a97a92
1525229a244130
hex126ea5558400

20266429547520 has 2464 divisors, whose sum is σ = 84437307601920. Its totient is φ = 4620869959680.

The previous prime is 20266429547501. The next prime is 20266429547587. The reversal of 20266429547520 is 2574592466202.

20266429547520 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 6 + 42 + 9 + 547 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 223 ways as a sum of consecutive naturals, for example, 65165368165 + ... + 65165368475.

Almost surely, 220266429547520 is an apocalyptic number.

20266429547520 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 20266429547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42218653800960).

20266429547520 is an abundant number, since it is smaller than the sum of its proper divisors (64170878054400).

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

20266429547520 is a wasteful number, since it uses less digits than its factorization.

20266429547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 20266429547520 in words is "twenty trillion, two hundred sixty-six billion, four hundred twenty-nine million, five hundred forty-seven thousand, five hundred twenty".