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216255242112 = 27372131923179
BaseRepresentation
bin1100100101100111010…
…0010001111110000000
3202200012012101112122120
43021121310101332000
512020342320221422
6243202444204240
721424002141300
oct3113164217600
9680165345576
10216255242112
11837934a0198
1235ab3539680
1317514c31b30
14a676cd5600
15595a58745c
hex3259d11f80

216255242112 has 1152 divisors, whose sum is σ = 793904025600. Its totient is φ = 51627663360.

The previous prime is 216255242107. The next prime is 216255242173. The reversal of 216255242112 is 211242552612.

Its product of digits (19200) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2737408089 + ... + 2737408167.

It is an arithmetic number, because the mean of its divisors is an integer number (689152800).

Almost surely, 2216255242112 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 216255242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396952012800).

216255242112 is an abundant number, since it is smaller than the sum of its proper divisors (577648783488).

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

216255242112 is a wasteful number, since it uses less digits than its factorization.

216255242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

Adding to 216255242112 its reverse (211242552612), we get a palindrome (427497794724).

The spelling of 216255242112 in words is "two hundred sixteen billion, two hundred fifty-five million, two hundred forty-two thousand, one hundred twelve".