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20418144516 = 223271122812383
BaseRepresentation
bin10011000001000001…
…000010100100000100
31221200222100012200200
4103001001002210010
5313304021111031
613214023410500
71321660236060
oct230101024404
957628305620
1020418144516
118728568200
123b59bb3a30
131c051ccc23
14db9a50aa0
157e78158e6
hex4c1042904

20418144516 has 216 divisors, whose sum is σ = 65093613312. Its totient is φ = 5282323200.

The previous prime is 20418144473. The next prime is 20418144517. The reversal of 20418144516 is 61544181402.

20418144516 is a `hidden beast` number, since 20 + 4 + 1 + 81 + 44 + 516 = 666.

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 (20418144517) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8567061 + ... + 8569443.

Almost surely, 220418144516 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 20418144516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32546806656).

20418144516 is an abundant number, since it is smaller than the sum of its proper divisors (44675468796).

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

20418144516 is a wasteful number, since it uses less digits than its factorization.

20418144516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 20418144516 in words is "twenty billion, four hundred eighteen million, one hundred forty-four thousand, five hundred sixteen".