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66536316 = 22357211127
BaseRepresentation
bin1111110111010…
…0001101111100
311122012101200000
43331310031330
5114013130231
610334034300
71435356300
oct375641574
9148171600
1066536316
11346157a0
121a348990
1310a28102
148b9dd00
155c946e6
hex3f7437c

66536316 has 216 divisors, whose sum is σ = 223082496. Its totient is φ = 17146080.

The previous prime is 66536297. The next prime is 66536329. The reversal of 66536316 is 61363566.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 523845 + ... + 523971.

Almost surely, 266536316 is an apocalyptic number.

66536316 is a gapful number since it is divisible by the number (66) 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 66536316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

66536316 is an abundant number, since it is smaller than the sum of its proper divisors (156546180).

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

66536316 is a wasteful number, since it uses less digits than its factorization.

66536316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 66536316 is about 8156.9795880583. The cubic root of 66536316 is about 405.2156875817.

The spelling of 66536316 in words is "sixty-six million, five hundred thirty-six thousand, three hundred sixteen".