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216367027968 = 283721332617
BaseRepresentation
bin1100100110000001111…
…0101101011100000000
3202200110222201212000110
43021200132231130000
512021104424343333
6243221520151320
721426530251500
oct3114036553400
9680428655013
10216367027968
11838406015a3
1235b24a68540
1317532141000
14a687ab3a00
1559652b9063
hex32607ad700

216367027968 has 432 divisors, whose sum is σ = 725942706720. Its totient is φ = 57042026496.

The previous prime is 216367027967. The next prime is 216367027979. The reversal of 216367027968 is 869720763612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216367027967) 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, 82676196 + ... + 82678812.

Almost surely, 2216367027968 is an apocalyptic number.

216367027968 is a gapful number since it is divisible by the number (28) 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 216367027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362971353360).

216367027968 is an abundant number, since it is smaller than the sum of its proper divisors (509575678752).

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

216367027968 is an equidigital number, since it uses as much as digits as its factorization.

216367027968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 216367027968 in words is "two hundred sixteen billion, three hundred sixty-seven million, twenty-seven thousand, nine hundred sixty-eight".