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218107389192 = 233721131543887
BaseRepresentation
bin1100101100100000110…
…1101010010100001000
3202211222021112100210120
43023020031222110020
512033140442423232
6244110330143240
721520622135100
oct3131015522410
9684867470716
10218107389192
1184553a31760
123632b881b20
131774b87c654
14a7b0ca4200
155a17e9192c
hex32c836a508

218107389192 has 192 divisors, whose sum is σ = 714277232640. Its totient is φ = 54823708800.

The previous prime is 218107389167. The next prime is 218107389197. The reversal of 218107389192 is 291983701812.

It is not an unprimeable number, because it can be changed into a prime (218107389197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129073 + ... + 672959.

It is an arithmetic number, because the mean of its divisors is an integer number (3720193920).

Almost surely, 2218107389192 is an apocalyptic number.

218107389192 is a gapful number since it is divisible by the number (22) 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 218107389192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357138616320).

218107389192 is an abundant number, since it is smaller than the sum of its proper divisors (496169843448).

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

218107389192 is a wasteful number, since it uses less digits than its factorization.

218107389192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543952 (or 543941 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 218107389192 in words is "two hundred eighteen billion, one hundred seven million, three hundred eighty-nine thousand, one hundred ninety-two".