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66796164 = 2234297109
BaseRepresentation
bin1111111011001…
…1101010000100
311122200121010000
43332303222010
5114044434124
610343401300
71440521001
oct376635204
9148617100
1066796164
1134782a46
121a453230
1310ab9476
148c2a8a8
155ce66c9
hex3fb3a84

66796164 has 60 divisors (see below), whose sum is σ = 180665100. Its totient is φ = 21494592.

The previous prime is 66796127. The next prime is 66796183. The reversal of 66796164 is 46169766.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 45562500 = 4608^2 + 6750^2 .

It is a super-2 number, since 2×667961642 = 8923455050229792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5842 + ... + 12950.

It is an arithmetic number, because the mean of its divisors is an integer number (3011085).

Almost surely, 266796164 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 66796164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90332550).

66796164 is an abundant number, since it is smaller than the sum of its proper divisors (113868936).

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

66796164 is a wasteful number, since it uses less digits than its factorization.

66796164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 7143 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 66796164 is about 8172.8920217999. The cubic root of 66796164 is about 405.7425062081.

The spelling of 66796164 in words is "sixty-six million, seven hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 7109 9396 14218 21327 28436 42654 63981 85308 127962 191943 206161 255924 383886 412322 575829 618483 767772 824644 1151658 1236966 1855449 2303316 2473932 3710898 5566347 7421796 11132694 16699041 22265388 33398082 66796164