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66104148 = 223111493361
BaseRepresentation
bin1111110000101…
…0101101010100
311121101102211210
43330022231110
5113410313043
610320501420
71431606315
oct374125524
9147342753
1066104148
1134350030
121a17a870
13109064a6
148aca60c
155c0b633
hex3f0ab54

66104148 has 48 divisors (see below), whose sum is σ = 169444800. Its totient is φ = 19891200.

The previous prime is 66104117. The next prime is 66104153. The reversal of 66104148 is 84140166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17988 + ... + 21348.

It is an arithmetic number, because the mean of its divisors is an integer number (3530100).

Almost surely, 266104148 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 66104148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84722400).

66104148 is an abundant number, since it is smaller than the sum of its proper divisors (103340652).

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

66104148 is a wasteful number, since it uses less digits than its factorization.

66104148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 66104148 is about 8130.4457442381. The cubic root of 66104148 is about 404.3364595738.

The spelling of 66104148 in words is "sixty-six million, one hundred four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 3278 3361 4917 6556 6722 9834 10083 13444 19668 20166 36971 40332 73942 110913 147884 221826 443652 500789 1001578 1502367 2003156 3004734 5508679 6009468 11017358 16526037 22034716 33052074 66104148