Search a number
-
+
20242196480 = 211511217312
BaseRepresentation
bin10010110110100001…
…110110100000000000
31221020201021010100202
4102312201312200000
5312424000241410
613144340304332
71314422555042
oct226641664000
957221233322
1020242196480
118648212900
123b0b0a20a8
131ba791746c
14da052da92
157d715cca5
hex4b6876800

20242196480 has 432 divisors, whose sum is σ = 58408835940. Its totient is φ = 6704332800.

The previous prime is 20242196473. The next prime is 20242196501. The reversal of 20242196480 is 8469124202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20123124736 + 119071744 = 141856^2 + 10912^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 652974065 + ... + 652974095.

Almost surely, 220242196480 is an apocalyptic number.

20242196480 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 20242196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29204417970).

20242196480 is an abundant number, since it is smaller than the sum of its proper divisors (38166639460).

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

20242196480 is a wasteful number, since it uses less digits than its factorization.

20242196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 20242196480 in words is "twenty billion, two hundred forty-two million, one hundred ninety-six thousand, four hundred eighty".