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19212144484302 = 234711291092771759
BaseRepresentation
bin1000101111001001011010…
…00011000001111111001110
32112000122220101022111020000
410113210231003001333032
510004232432441444202
6104505534244105130
74022013564441420
oct427445503017716
975018811274200
1019212144484302
11613790877a130
1221a35383951a6
13a9490b3b9363
144a5c30ba4810
15234b42d5491c
hex11792d0c1fce

19212144484302 has 640 divisors, whose sum is σ = 56266417152000. Its totient is φ = 4753951534080.

The previous prime is 19212144484289. The next prime is 19212144484361. The reversal of 19212144484302 is 20348444121291.

19212144484302 is a `hidden beast` number, since 1 + 9 + 2 + 121 + 44 + 484 + 3 + 0 + 2 = 666.

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 319 ways as a sum of consecutive naturals, for example, 10922196099 + ... + 10922197857.

It is an arithmetic number, because the mean of its divisors is an integer number (87916276800).

Almost surely, 219212144484302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19212144484302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28133208576000).

19212144484302 is an abundant number, since it is smaller than the sum of its proper divisors (37054272667698).

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

19212144484302 is a wasteful number, since it uses less digits than its factorization.

19212144484302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 19212144484302 in words is "nineteen trillion, two hundred twelve billion, one hundred forty-four million, four hundred eighty-four thousand, three hundred two".