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17421212160 = 293351122083
BaseRepresentation
bin10000001110011000…
…101001101000000000
31122222010002021101000
4100032120221220000
5241134312242120
612000405012000
71154466601002
oct201630515000
948863067330
1017421212160
11742a902600
1234623b4000
131848350a81
14bb3a06372
156be67a990
hex40e629a00

17421212160 has 480 divisors, whose sum is σ = 68051269440. Its totient is φ = 4221296640.

The previous prime is 17421212143. The next prime is 17421212189. The reversal of 17421212160 is 6121212471.

17421212160 is a `hidden beast` number, since 1 + 7 + 421 + 21 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8362479 + ... + 8364561.

It is an arithmetic number, because the mean of its divisors is an integer number (141773478).

Almost surely, 217421212160 is an apocalyptic number.

17421212160 is a gapful number since it is divisible by the number (10) 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 17421212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34025634720).

17421212160 is an abundant number, since it is smaller than the sum of its proper divisors (50630057280).

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

17421212160 is a wasteful number, since it uses less digits than its factorization.

17421212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 17421212160 in words is "seventeen billion, four hundred twenty-one million, two hundred twelve thousand, one hundred sixty".