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66106476 = 22335311549
BaseRepresentation
bin1111110000101…
…1010001101100
311121101120001000
43330023101230
5113410401401
610320520300
71431616152
oct374132154
9147346030
1066106476
1134351857
121a180090
1310907577
148acb3d2
155c0c186
hex3f0b46c

66106476 has 48 divisors (see below), whose sum is σ = 174636000. Its totient is φ = 21617856.

The previous prime is 66106433. The next prime is 66106483. The reversal of 66106476 is 67460166.

66106476 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 647 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66106476.

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, 51 + ... + 11498.

It is an arithmetic number, because the mean of its divisors is an integer number (3638250).

Almost surely, 266106476 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 66106476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87318000).

66106476 is an abundant number, since it is smaller than the sum of its proper divisors (108529524).

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

66106476 is a wasteful number, since it uses less digits than its factorization.

66106476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11615 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66106476 is about 8130.5889085601. The cubic root of 66106476 is about 404.3412060446.

The spelling of 66106476 in words is "sixty-six million, one hundred six thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 11549 23098 34647 46196 69294 103941 138588 207882 311823 415764 612097 623646 1224194 1247292 1836291 2448388 3672582 5508873 7345164 11017746 16526619 22035492 33053238 66106476