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216246642612 = 223731113477817
BaseRepresentation
bin1100100101100101001…
…1011110011110110100
3202200011121012122100120
43021121103132132310
512020333120030422
6243201540011540
721423536064000
oct3113123363664
9680147178316
10216246642612
1183789657270
1235ab0690bb0
1317513210880
14a675ad7700
15595993945c
hex32594de7b4

216246642612 has 384 divisors, whose sum is σ = 706096742400. Its totient is φ = 50737720320.

The previous prime is 216246642593. The next prime is 216246642653.

216246642612 is nontrivially palindromic in base 10.

216246642612 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2162466426122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27659728 + ... + 27667544.

It is an arithmetic number, because the mean of its divisors is an integer number (1838793600).

Almost surely, 2216246642612 is an apocalyptic number.

216246642612 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 216246642612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353048371200).

216246642612 is an abundant number, since it is smaller than the sum of its proper divisors (489850099788).

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

216246642612 is a wasteful number, since it uses less digits than its factorization.

216246642612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7900 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 216246 and 642612, that added together give a palindrome (858858).

The spelling of 216246642612 in words is "two hundred sixteen billion, two hundred forty-six million, six hundred forty-two thousand, six hundred twelve".