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66389060416 = 267317414339
BaseRepresentation
bin111101110101000110…
…001010101101000000
320100100202201200222111
4331311012022231000
52041431044413131
650255415545104
74540116463000
oct756506125500
9210322650874
1066389060416
1126178991788
1210a4968b194
136350307103
1432db21a000
151ad85dcab1
hexf7518ab40

66389060416 has 224 divisors, whose sum is σ = 166676832000. Its totient is φ = 26119618560.

The previous prime is 66389060363. The next prime is 66389060429. The reversal of 66389060416 is 61406098366.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 66389060416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15298375 + ... + 15302713.

It is an arithmetic number, because the mean of its divisors is an integer number (744093000).

Almost surely, 266389060416 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 66389060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83338416000).

66389060416 is an abundant number, since it is smaller than the sum of its proper divisors (100287771584).

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

66389060416 is a wasteful number, since it uses less digits than its factorization.

66389060416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 66389060416 in words is "sixty-six billion, three hundred eighty-nine million, sixty thousand, four hundred sixteen".