Search a number
-
+
20312418672 = 24327133121613
BaseRepresentation
bin10010111010101101…
…101110100101110000
31221102121101210002200
4102322231232211300
5313044434344142
613155325343200
71316234465340
oct227255564560
957377353080
1020312418672
118683915877
123b2a707b00
131bb9333160
14da99acd20
157dd3ce64c
hex4bab6e970

20312418672 has 360 divisors, whose sum is σ = 72339557472. Its totient is φ = 5181096960.

The previous prime is 20312418671. The next prime is 20312418683. The reversal of 20312418672 is 27681421302.

It is a happy number.

It is a super-2 number, since 2×203124186722 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312418671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12592138 + ... + 12593750.

Almost surely, 220312418672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312418672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36169778736).

20312418672 is an abundant number, since it is smaller than the sum of its proper divisors (52027138800).

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

20312418672 is a wasteful number, since it uses less digits than its factorization.

20312418672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 20312418672 its reverse (27681421302), we get a palindrome (47993839974).

The spelling of 20312418672 in words is "twenty billion, three hundred twelve million, four hundred eighteen thousand, six hundred seventy-two".