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18220750416 = 24351117191319
BaseRepresentation
bin10000111110000010…
…101001011001010000
31202000211120000200000
4100332002221121100
5244304003003131
612212005530000
71213345552221
oct207602513120
952024500600
1018220750416
117800158520
123646113900
131944ba172b
14c4bc91248
15719960ce6
hex43e0a9650

18220750416 has 480 divisors, whose sum is σ = 64345881600. Its totient is φ = 4919408640.

The previous prime is 18220750403. The next prime is 18220750417. The reversal of 18220750416 is 61405702281.

18220750416 is a `hidden beast` number, since 18 + 220 + 7 + 5 + 0 + 416 = 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 (18220750417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13813405 + ... + 13814723.

It is an arithmetic number, because the mean of its divisors is an integer number (134053920).

Almost surely, 218220750416 is an apocalyptic number.

18220750416 is a gapful number since it is divisible by the number (16) 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 18220750416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32172940800).

18220750416 is an abundant number, since it is smaller than the sum of its proper divisors (46125131184).

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

18220750416 is a wasteful number, since it uses less digits than its factorization.

18220750416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 18220750416 in words is "eighteen billion, two hundred twenty million, seven hundred fifty thousand, four hundred sixteen".