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66201856896 = 273727348197
BaseRepresentation
bin111101101001111100…
…000010101110000000
320022212201110210000210
4331221330002232000
52041040133410041
650225051314120
74532354333100
oct755174025600
9208781423023
1066201856896
1126092249a2a
12109b6a4b940
1363205b04b6
1432c0409200
151ac6e60016
hexf69f02b80

66201856896 has 192 divisors, whose sum is σ = 207365147280. Its totient is φ = 18655322112.

The previous prime is 66201856891. The next prime is 66201856907. The reversal of 66201856896 is 69865810266.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66201856891) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1349470 + ... + 1397666.

Almost surely, 266201856896 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 66201856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103682573640).

66201856896 is an abundant number, since it is smaller than the sum of its proper divisors (141163290384).

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

66201856896 is a wasteful number, since it uses less digits than its factorization.

66201856896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48301 (or 48282 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 66201856896 in words is "sixty-six billion, two hundred one million, eight hundred fifty-six thousand, eight hundred ninety-six".