Search a number
-
+
20299069824 = 27311193141199
BaseRepresentation
bin10010111001111010…
…110011100110000000
31221101200021120220220
4102321322303212000
5313033030213244
613154131303040
71316013150405
oct227172634600
957350246826
1020299069824
118677328670
123b2614aa80
131bb663b227
14da7cd62ac
157dc144319
hex4b9eb3980

20299069824 has 512 divisors, whose sum is σ = 65802240000. Its totient is φ = 5474304000.

The previous prime is 20299069823. The next prime is 20299069849. The reversal of 20299069824 is 42896099202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20299069823) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 102005277 + ... + 102005475.

It is an arithmetic number, because the mean of its divisors is an integer number (128520000).

Almost surely, 220299069824 is an apocalyptic number.

20299069824 is a gapful number since it is divisible by the number (24) 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 20299069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120000).

20299069824 is an abundant number, since it is smaller than the sum of its proper divisors (45503170176).

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

20299069824 is a wasteful number, since it uses less digits than its factorization.

20299069824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 20299069824 in words is "twenty billion, two hundred ninety-nine million, sixty-nine thousand, eight hundred twenty-four".