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66799616 = 211132193
BaseRepresentation
bin1111111011010…
…0100000000000
311122200202211212
43332310200000
5114100041431
610343425252
71440534032
oct376644000
9148622755
1066799616
11347855a4
121a455228
1310abac00
148c2bc52
155ce772b
hex3fb4800

66799616 has 72 divisors (see below), whose sum is σ = 145380690. Its totient is φ = 30670848.

The previous prime is 66799609. The next prime is 66799703. The reversal of 66799616 is 61699766.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24601600 + 42198016 = 4960^2 + 6496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346016 + ... + 346208.

Almost surely, 266799616 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 66799616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72690345).

66799616 is an abundant number, since it is smaller than the sum of its proper divisors (78581074).

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

66799616 is a wasteful number, since it uses less digits than its factorization.

66799616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 208 counting only the distinct ones).

The product of its digits is 734832, while the sum is 50.

The square root of 66799616 is about 8173.1032050256. The cubic root of 66799616 is about 405.7494956265.

The spelling of 66799616 in words is "sixty-six million, seven hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 193 208 256 338 386 416 512 676 772 832 1024 1352 1544 1664 2048 2509 2704 3088 3328 5018 5408 6176 6656 10036 10816 12352 13312 20072 21632 24704 26624 32617 40144 43264 49408 65234 80288 86528 98816 130468 160576 173056 197632 260936 321152 346112 395264 521872 642304 1043744 1284608 2087488 2569216 4174976 5138432 8349952 16699904 33399808 66799616