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66363058944 = 283571319617
BaseRepresentation
bin111101110011100010…
…111110101100000000
320100021221210200200000
4331303202332230000
52041402420341234
650253050400000
74536352456650
oct756342765400
9210257720600
1066363058944
1126165242466
1210a40a30000
136347b02120
1432d79ac360
151ad61a3899
hexf738beb00

66363058944 has 864 divisors, whose sum is σ = 257489057280. Its totient is φ = 16554295296.

The previous prime is 66363058943. The next prime is 66363058961. The reversal of 66363058944 is 44985036366.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66363058943) 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 95 ways as a sum of consecutive naturals, for example, 107557324 + ... + 107557940.

Almost surely, 266363058944 is an apocalyptic number.

66363058944 is a gapful number since it is divisible by the number (64) 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 66363058944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128744528640).

66363058944 is an abundant number, since it is smaller than the sum of its proper divisors (191125998336).

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

66363058944 is a wasteful number, since it uses less digits than its factorization.

66363058944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 66363058944 in words is "sixty-six billion, three hundred sixty-three million, fifty-eight thousand, nine hundred forty-four".