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66248364 = 2237131931103
BaseRepresentation
bin1111110010110…
…1111010101100
311121122202200010
43330231322230
5113424421424
610323533220
71433046630
oct374557254
9147582603
1066248364
1134439416
121a22a210
1310957020
148b26dc0
155c39229
hex3f2deac

66248364 has 192 divisors, whose sum is σ = 208732160. Its totient is φ = 15863040.

The previous prime is 66248341. The next prime is 66248387. The reversal of 66248364 is 46384266.

66248364 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66248341) and next prime (66248387).

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

66248364 is strictly pandigital in base 9.

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 63 ways as a sum of consecutive naturals, for example, 643137 + ... + 643239.

Almost surely, 266248364 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 66248364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104366080).

66248364 is an abundant number, since it is smaller than the sum of its proper divisors (142483796).

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

66248364 is a wasteful number, since it uses less digits than its factorization.

66248364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 66248364 is about 8139.3097987483. The cubic root of 66248364 is about 404.6302859809.

The spelling of 66248364 in words is "sixty-six million, two hundred forty-eight thousand, three hundred sixty-four".