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66658402944 = 2732761135511
BaseRepresentation
bin111110000101001001…
…101000001010000000
320101001112112201110200
4332011021220022000
52043004022343234
650342240525200
74546600035120
oct760511501200
9211045481420
1066658402944
11262a6a26811
1210b03920800
13639405c8a3
143324cccc80
151b02092d99
hexf85268280

66658402944 has 192 divisors, whose sum is σ = 222814250880. Its totient is φ = 18732902400.

The previous prime is 66658402933. The next prime is 66658402969. The reversal of 66658402944 is 44920485666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424149 + ... + 559659.

It is an arithmetic number, because the mean of its divisors is an integer number (1160490890).

Almost surely, 266658402944 is an apocalyptic number.

66658402944 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 66658402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111407125440).

66658402944 is an abundant number, since it is smaller than the sum of its proper divisors (156155847936).

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

66658402944 is a wasteful number, since it uses less digits than its factorization.

66658402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135599 (or 135584 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 66658402944 in words is "sixty-six billion, six hundred fifty-eight million, four hundred two thousand, nine hundred forty-four".