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216668652980 = 2251337473471381
BaseRepresentation
bin1100100111001001110…
…1010100010110110100
3202201021000021222202012
43021302131110112310
512022214133343410
6243311453103352
721440152106633
oct3116235242664
9681230258665
10216668652980
118398589596a
1235ba9a87b58
131757c78a650
14a6b5b8b51a
1559819e9605
hex32727545b4

216668652980 has 192 divisors, whose sum is σ = 515809631232. Its totient is φ = 75907860480.

The previous prime is 216668652971. The next prime is 216668652989. The reversal of 216668652980 is 89256866612.

216668652980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216668652971) and next prime (216668652989).

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216668652989) 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 63 ways as a sum of consecutive naturals, for example, 156891890 + ... + 156893270.

It is an arithmetic number, because the mean of its divisors is an integer number (2686508496).

Almost surely, 2216668652980 is an apocalyptic number.

216668652980 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 216668652980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257904815616).

216668652980 is an abundant number, since it is smaller than the sum of its proper divisors (299140978252).

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

216668652980 is a wasteful number, since it uses less digits than its factorization.

216668652980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 59.

The spelling of 216668652980 in words is "two hundred sixteen billion, six hundred sixty-eight million, six hundred fifty-two thousand, nine hundred eighty".