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66394944 = 2633711499
BaseRepresentation
bin1111110101000…
…1101101000000
311121221012202000
43331101231000
5113444114234
610331024000
71434230160
oct375215500
9147835660
1066394944
1134529560
121a29b000
13109a8965
148b645a0
155c67899
hex3f51b40

66394944 has 224 divisors, whose sum is σ = 243840000. Its totient is φ = 17210880.

The previous prime is 66394927. The next prime is 66394969. The reversal of 66394944 is 44949366.

It is a happy number.

66394944 is a `hidden beast` number, since 6 + 639 + 4 + 9 + 4 + 4 = 666.

66394944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66394944.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 132807 + ... + 133305.

Almost surely, 266394944 is an apocalyptic number.

66394944 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 66394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920000).

66394944 is an abundant number, since it is smaller than the sum of its proper divisors (177445056).

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

66394944 is a wasteful number, since it uses less digits than its factorization.

66394944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 522 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 66394944 is about 8148.3092724810. The cubic root of 66394944 is about 404.9284921762.

The spelling of 66394944 in words is "sixty-six million, three hundred ninety-four thousand, nine hundred forty-four".