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216286785960 = 2335747197109
BaseRepresentation
bin1100100101101110110…
…0100111000110101000
3202200021101202010200020
43021123230213012220
512020423404122320
6243205532240440
721424534230000
oct3113354470650
9680241663606
10216286785960
11837aa285593
1235b02010120
131751b62772b
14a67b187000
15595d218940
hex325bb271a8

216286785960 has 640 divisors, whose sum is σ = 782648697600. Its totient is φ = 47795650560.

The previous prime is 216286785941. The next prime is 216286785961. The reversal of 216286785960 is 69587682612.

216286785960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 216286785894 and 216286785903.

It is not an unprimeable number, because it can be changed into a prime (216286785961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1984282386 + ... + 1984282494.

It is an arithmetic number, because the mean of its divisors is an integer number (1222888590).

Almost surely, 2216286785960 is an apocalyptic number.

216286785960 is a gapful number since it is divisible by the number (20) 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 216286785960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391324348800).

216286785960 is an abundant number, since it is smaller than the sum of its proper divisors (566361911640).

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

216286785960 is a wasteful number, since it uses less digits than its factorization.

216286785960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 216286785960 in words is "two hundred sixteen billion, two hundred eighty-six million, seven hundred eighty-five thousand, nine hundred sixty".