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66374149248 = 27331122367103
BaseRepresentation
bin111101110100001101…
…010010010010000000
320100022201200010201000
4331310031102102000
52041413240233443
650254124212000
74536545650131
oct756415222200
9210281603630
1066374149248
1126170527800
1210a4469a000
13634a1b6034
1432d9257c88
151ad71448d3
hexf74352480

66374149248 has 768 divisors, whose sum is σ = 230253004800. Its totient is φ = 18767738880.

The previous prime is 66374149213. The next prime is 66374149253. The reversal of 66374149248 is 84294147366.

It is a super-3 number, since 3×663741492483 (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 66374149194 and 66374149203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 644409165 + ... + 644409267.

It is an arithmetic number, because the mean of its divisors is an integer number (299808600).

Almost surely, 266374149248 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 66374149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115126502400).

66374149248 is an abundant number, since it is smaller than the sum of its proper divisors (163878855552).

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

66374149248 is a wasteful number, since it uses less digits than its factorization.

66374149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 209 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 66374149248 in words is "sixty-six billion, three hundred seventy-four million, one hundred forty-nine thousand, two hundred forty-eight".