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66490164 = 223213314583
BaseRepresentation
bin1111110110100…
…0111100110100
311122010001100200
43331220330310
5114010141124
610333040500
71435104606
oct375507464
9148101320
1066490164
1134594054
121a326130
1310a100c0
148b8b176
155c85bc9
hex3f68f34

66490164 has 72 divisors (see below), whose sum is σ = 186880512. Its totient is φ = 19794240.

The previous prime is 66490163. The next prime is 66490187. The reversal of 66490164 is 46109466.

66490164 is a `hidden beast` number, since 6 + 6 + 490 + 164 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66490163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12217 + ... + 16799.

Almost surely, 266490164 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 66490164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93440256).

66490164 is an abundant number, since it is smaller than the sum of its proper divisors (120390348).

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

66490164 is a wasteful number, since it uses less digits than its factorization.

66490164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66490164 is about 8154.1501089936. The cubic root of 66490164 is about 405.1219751491.

The spelling of 66490164 in words is "sixty-six million, four hundred ninety thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4583 4836 7254 9166 13749 14508 18332 27498 41247 54996 59579 82494 119158 142073 164988 178737 238316 284146 357474 426219 536211 568292 714948 852438 1072422 1278657 1704876 1846949 2144844 2557314 3693898 5114628 5540847 7387796 11081694 16622541 22163388 33245082 66490164