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66979294848 = 2733831032267
BaseRepresentation
bin111110011000010001…
…101110111010000000
320101212220100201102000
4332120101232322000
52044133144413343
650434142424000
74560544420044
oct763021567200
9211786321360
1066979294848
112645107a634
1210b93292000
136415693a5b
143355780024
151b2032bed3
hexf9846ee80

66979294848 has 256 divisors, whose sum is σ = 202095129600. Its totient is φ = 21833653248.

The previous prime is 66979294843. The next prime is 66979294859. The reversal of 66979294848 is 84849297966.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (66979294843) 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 31 ways as a sum of consecutive naturals, for example, 29544211 + ... + 29546477.

It is an arithmetic number, because the mean of its divisors is an integer number (789434100).

Almost surely, 266979294848 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 66979294848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101047564800).

66979294848 is an abundant number, since it is smaller than the sum of its proper divisors (135115834752).

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

66979294848 is a wasteful number, since it uses less digits than its factorization.

66979294848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2458 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 66979294848 in words is "sixty-six billion, nine hundred seventy-nine million, two hundred ninety-four thousand, eight hundred forty-eight".