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103466328064 = 2131117229137
BaseRepresentation
bin110000001011100010…
…0101110000000000000
3100220001202011001102121
41200113010232000000
53143344334444224
6115310510254024
710321664164141
oct1402704560000
9326052131377
10103466328064
113a975054740
12180767b7314
1399ab9b9938
145017575ac8
152a586e4be4
hex181712e000

103466328064 has 336 divisors, whose sum is σ = 249869584080. Its totient is φ = 42425384960.

The previous prime is 103466328059. The next prime is 103466328073. The reversal of 103466328064 is 460823664301.

It is a self number, because there is not a number n which added to its sum of digits gives 103466328064.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 755228604 + ... + 755228740.

Almost surely, 2103466328064 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 103466328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124934792040).

103466328064 is an abundant number, since it is smaller than the sum of its proper divisors (146403256016).

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

103466328064 is a wasteful number, since it uses less digits than its factorization.

103466328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 103466328064 in words is "one hundred three billion, four hundred sixty-six million, three hundred twenty-eight thousand, sixty-four".