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66163504 = 24114153173
BaseRepresentation
bin1111110001100…
…1001100110000
311121111110021011
43330121030300
5113414213004
610322040304
71432244341
oct374311460
9147443234
1066163504
1134390690
121a1a9094
1310927504
148b040c8
155c1e004
hex3f19330

66163504 has 80 divisors (see below), whose sum is σ = 146803104. Its totient is φ = 28620800.

The previous prime is 66163501. The next prime is 66163549. The reversal of 66163504 is 40536166.

66163504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66163501) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 382362 + ... + 382534.

Almost surely, 266163504 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 66163504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73401552).

66163504 is an abundant number, since it is smaller than the sum of its proper divisors (80639600).

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

66163504 is a wasteful number, since it uses less digits than its factorization.

66163504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 66163504 is about 8134.0951555782. The cubic root of 66163504 is about 404.4574434855.

The spelling of 66163504 in words is "sixty-six million, one hundred sixty-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 41 44 53 82 88 106 164 173 176 212 328 346 424 451 583 656 692 848 902 1166 1384 1804 1903 2173 2332 2768 3608 3806 4346 4664 7093 7216 7612 8692 9169 9328 14186 15224 17384 18338 23903 28372 30448 34768 36676 47806 56744 73352 78023 95612 100859 113488 146704 156046 191224 201718 312092 375929 382448 403436 624184 751858 806872 1248368 1503716 1613744 3007432 4135219 6014864 8270438 16540876 33081752 66163504