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66070444440 = 2335711136171127
BaseRepresentation
bin111101100010000110…
…101111100110011000
320022112120012100000210
4331202012233212120
52040303013210230
650204034531120
74526200340310
oct754206574630
9208476170023
1066070444440
11260250528a0
121097aa36aa0
1362cc2bbb50
1432aab9c440
151aba652eb0
hexf621af998

66070444440 has 1024 divisors, whose sum is σ = 276462305280. Its totient is φ = 12192768000.

The previous prime is 66070444403. The next prime is 66070444459. The reversal of 66070444440 is 4444407066.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 520239657 + ... + 520239783.

It is an arithmetic number, because the mean of its divisors is an integer number (269982720).

Almost surely, 266070444440 is an apocalyptic number.

66070444440 is a gapful number since it is divisible by the number (60) 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 66070444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138231152640).

66070444440 is an abundant number, since it is smaller than the sum of its proper divisors (210391860840).

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

66070444440 is a wasteful number, since it uses less digits than its factorization.

66070444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 66070444440 in words is "sixty-six billion, seventy million, four hundred forty-four thousand, four hundred forty".