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6384198352896 = 22134721359
BaseRepresentation
bin101110011100110111111…
…1000000000000000000000
3211121022201202112002010000
41130321233320000000000
51314044314234243041
621324505451040000
71226146246426200
oct134715770000000
924538652462100
106384198352896
112041583597471
12871373140000
133740480435a0
14180dd54d4400
15b11034bbbb6
hex5ce6fe00000

6384198352896 has 1320 divisors, whose sum is σ = 24299610544440. Its totient is φ = 1655206576128.

The previous prime is 6384198352879. The next prime is 6384198352897. The reversal of 6384198352896 is 6982538914836.

It is a happy number.

6384198352896 is a `hidden beast` number, since 6 + 3 + 8 + 4 + 1 + 9 + 8 + 3 + 528 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6384198352897) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 108206751715 + ... + 108206751773.

It is an arithmetic number, because the mean of its divisors is an integer number (18408795867).

Almost surely, 26384198352896 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 6384198352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149805272220).

6384198352896 is an abundant number, since it is smaller than the sum of its proper divisors (17915412191544).

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

6384198352896 is an frugal number, since it uses more digits than its factorization.

6384198352896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 84 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 6384198352896 in words is "six trillion, three hundred eighty-four billion, one hundred ninety-eight million, three hundred fifty-two thousand, eight hundred ninety-six".