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16928431999104 = 2731931415930941
BaseRepresentation
bin1111011001010111010100…
…1011010000100010000000
32012221100020112101002110210
43312111311023100202000
54204323412042432404
6100000451515554120
73365016216550623
oct366256513204200
965840215332423
1016928431999104
1154373425a3a8a
121a94a1575b940
1395a462528612
144274aa3c7dba
151e5532553689
hexf65752d0880

16928431999104 has 512 divisors, whose sum is σ = 50901322752000. Its totient is φ = 4961488896000.

The previous prime is 16928431999069. The next prime is 16928431999109. The reversal of 16928431999104 is 40199913482961.

It is not an unprimeable number, because it can be changed into a prime (16928431999109) 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, 547104274 + ... + 547135214.

It is an arithmetic number, because the mean of its divisors is an integer number (99416646000).

Almost surely, 216928431999104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16928431999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25450661376000).

16928431999104 is an abundant number, since it is smaller than the sum of its proper divisors (33972890752896).

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

16928431999104 is a wasteful number, since it uses less digits than its factorization.

16928431999104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31108 (or 31096 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 66.

The spelling of 16928431999104 in words is "sixteen trillion, nine hundred twenty-eight billion, four hundred thirty-one million, nine hundred ninety-nine thousand, one hundred four".