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216880937052156 = 223313331772760397
BaseRepresentation
bin110001010100000010000111…
…001101100010011111111100
31001102220121121101212212012000
4301110002013031202133330
5211411334124341132111
62045133421011542300
763453062541615366
oct6124020715423774
91042817541785160
10216880937052156
1163117763989763
12203a8b8abba990
139402a27a25ba0
143b7b144285d36
151a11886b25c56
hexc540873627fc

216880937052156 has 192 divisors, whose sum is σ = 607454595471360. Its totient is φ = 66521275349760.

The previous prime is 216880937052137. The next prime is 216880937052167. The reversal of 216880937052156 is 651250739088612.

216880937052156 is a `hidden beast` number, since 2 + 1 + 68 + 8 + 0 + 9 + 370 + 52 + 156 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 216880937052093 and 216880937052102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3590892150 + ... + 3590952546.

It is an arithmetic number, because the mean of its divisors is an integer number (3163826018080).

Almost surely, 2216880937052156 is an apocalyptic number.

216880937052156 is a gapful number since it is divisible by the number (26) 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 216880937052156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303727297735680).

216880937052156 is an abundant number, since it is smaller than the sum of its proper divisors (390573658419204).

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

216880937052156 is a wasteful number, since it uses less digits than its factorization.

216880937052156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68481 (or 68473 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 216880937052156 in words is "two hundred sixteen trillion, eight hundred eighty billion, nine hundred thirty-seven million, fifty-two thousand, one hundred fifty-six".