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66499056 = 2434133947
BaseRepresentation
bin1111110110101…
…1000111110000
311122010111120000
43331223013300
5114010432211
610333150000
71435142541
oct375530760
9148114500
1066499056
113459a7a8
121a32b300
1310a14170
148b904c8
155c88656
hex3f6b1f0

66499056 has 100 divisors (see below), whose sum is σ = 207325272. Its totient is φ = 20456064.

The previous prime is 66499051. The next prime is 66499067. The reversal of 66499056 is 65099466.

It is a super-2 number, since 2×664990562 = 8844248897782272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66499051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14875 + ... + 18821.

Almost surely, 266499056 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 66499056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103662636).

66499056 is an abundant number, since it is smaller than the sum of its proper divisors (140826216).

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

66499056 is a wasteful number, since it uses less digits than its factorization.

66499056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 66499056 is about 8154.6953345910. The cubic root of 66499056 is about 405.1400338805.

The spelling of 66499056 in words is "sixty-six million, four hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 3947 4212 5616 7894 8424 11841 15788 16848 23682 31576 35523 47364 51311 63152 71046 94728 102622 106569 142092 153933 189456 205244 213138 284184 307866 319707 410488 426276 461799 568368 615732 639414 820976 852552 923598 1231464 1278828 1385397 1705104 1847196 2462928 2557656 2770794 3694392 4156191 5115312 5541588 7388784 8312382 11083176 16624764 22166352 33249528 66499056