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66991232 = 277211971
BaseRepresentation
bin1111111110001…
…1010010000000
311200001111200202
43333203102000
5114122204412
610351504332
71442262500
oct377432200
9150044622
1066991232
11348a6560
121a5280a8
1310b571a9
148c7ba00
155d343c2
hex3fe3480

66991232 has 96 divisors (see below), whose sum is σ = 169536240. Its totient is φ = 26073600.

The previous prime is 66991231. The next prime is 66991241. The reversal of 66991232 is 23219966.

66991232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66991231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68507 + ... + 69477.

Almost surely, 266991232 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 66991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84768120).

66991232 is an abundant number, since it is smaller than the sum of its proper divisors (102545008).

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

66991232 is a wasteful number, since it uses less digits than its factorization.

66991232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 991 counting only the distinct ones).

The product of its digits is 34992, while the sum is 38.

The square root of 66991232 is about 8184.8171635046. The cubic root of 66991232 is about 406.1370920310.

The spelling of 66991232 in words is "sixty-six million, nine hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 539 616 704 784 896 971 1078 1232 1408 1568 1942 2156 2464 3136 3884 4312 4928 6272 6797 7768 8624 9856 10681 13594 15536 17248 21362 27188 31072 34496 42724 47579 54376 62144 68992 74767 85448 95158 108752 124288 149534 170896 190316 217504 299068 341792 380632 435008 523369 598136 683584 761264 870016 1046738 1196272 1367168 1522528 2093476 2392544 3045056 4186952 4785088 6090112 8373904 9570176 16747808 33495616 66991232