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20168899086336 = 21137112132171971
BaseRepresentation
bin1001001010111111100000…
…00100001100100000000000
32122102010110020220002010220
410211133300010030200000
510120421401131230321
6110521244143423040
74151104056410130
oct445376004144000
978363406802126
1020168899086336
116476644806500
122318a4b5b4a80
13b33bc412a300
144da2739d8ac0
1524e98cc199c6
hex1257f010c800

20168899086336 has 3456 divisors, whose sum is σ = 82668795955200. Its totient is φ = 4250979532800.

The previous prime is 20168899086313. The next prime is 20168899086341. The reversal of 20168899086336 is 63368099886102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 284069001181 + ... + 284069001251.

It is an arithmetic number, because the mean of its divisors is an integer number (23920369200).

Almost surely, 220168899086336 is an apocalyptic number.

20168899086336 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 20168899086336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41334397977600).

20168899086336 is an abundant number, since it is smaller than the sum of its proper divisors (62499896868864).

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

20168899086336 is a wasteful number, since it uses less digits than its factorization.

20168899086336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 69.

The spelling of 20168899086336 in words is "twenty trillion, one hundred sixty-eight billion, eight hundred ninety-nine million, eighty-six thousand, three hundred thirty-six".