Search a number
-
+
20242173744 = 2432133109587
BaseRepresentation
bin10010110110100001…
…110000111100110000
31221020201012222011200
4102312201300330300
5312423444024434
613144340011200
71314422431542
oct226641607460
957221188150
1020242173744
1186481a7811
123b0b090b00
131ba790a000
14da0525692
157d7156199
hex4b6870f30

20242173744 has 240 divisors, whose sum is σ = 62037175200. Its totient is φ = 6160707072.

The previous prime is 20242173733. The next prime is 20242173767. The reversal of 20242173744 is 44737124202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20242173699 and 20242173708.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34483819 + ... + 34484405.

It is an arithmetic number, because the mean of its divisors is an integer number (258488230).

Almost surely, 220242173744 is an apocalyptic number.

20242173744 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 20242173744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31018587600).

20242173744 is an abundant number, since it is smaller than the sum of its proper divisors (41795001456).

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

20242173744 is a wasteful number, since it uses less digits than its factorization.

20242173744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 20242173744 its reverse (44737124202), we get a palindrome (64979297946).

The spelling of 20242173744 in words is "twenty billion, two hundred forty-two million, one hundred seventy-three thousand, seven hundred forty-four".