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66928116 = 22317378867
BaseRepresentation
bin1111111101001…
…1110111110100
311122221022010010
43333103313310
5114113144431
610350300220
71441610463
oct377236764
9148838103
1066928116
11348630a2
121a4b7670
1310b34548
148c629da
155d20846
hex3fd3df4

66928116 has 48 divisors (see below), whose sum is σ = 169839936. Its totient is φ = 20427264.

The previous prime is 66928097. The next prime is 66928123. The reversal of 66928116 is 61182966.

It is a super-2 number, since 2×669281162 = 8958745422618912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3115 + ... + 11981.

It is an arithmetic number, because the mean of its divisors is an integer number (3538332).

Almost surely, 266928116 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 66928116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84919968).

66928116 is an abundant number, since it is smaller than the sum of its proper divisors (102911820).

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

66928116 is a wasteful number, since it uses less digits than its factorization.

66928116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8926 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 66928116 is about 8180.9605792963. The cubic root of 66928116 is about 406.0095041738.

The spelling of 66928116 in words is "sixty-six million, nine hundred twenty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 7548 8867 17734 26601 35468 53202 106404 150739 301478 328079 452217 602956 656158 904434 984237 1312316 1808868 1968474 3936948 5577343 11154686 16732029 22309372 33464058 66928116