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66355692 = 2231317131191
BaseRepresentation
bin1111110100100…
…0000111101100
311121212012220020
43331020013230
5113441340232
610330122140
71434004554
oct375100754
9147765806
1066355692
1134502017
121a280350
1310993b30
148b54164
155c5ae2c
hex3f481ec

66355692 has 96 divisors (see below), whose sum is σ = 178827264. Its totient is φ = 18969600.

The previous prime is 66355643. The next prime is 66355693. The reversal of 66355692 is 29655366.

It is not an unprimeable number, because it can be changed into a prime (66355693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347317 + ... + 347507.

It is an arithmetic number, because the mean of its divisors is an integer number (1862784).

Almost surely, 266355692 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 66355692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89413632).

66355692 is an abundant number, since it is smaller than the sum of its proper divisors (112471572).

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

66355692 is a wasteful number, since it uses less digits than its factorization.

66355692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 66355692 is about 8145.9003185652. The cubic root of 66355692 is about 404.8486799425.

The spelling of 66355692 in words is "sixty-six million, three hundred fifty-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 131 156 191 204 221 262 382 393 442 524 573 663 764 786 884 1146 1326 1572 1703 2227 2292 2483 2652 3247 3406 4454 4966 5109 6494 6681 6812 7449 8908 9741 9932 10218 12988 13362 14898 19482 20436 25021 26724 28951 29796 38964 42211 50042 57902 75063 84422 86853 100084 115804 126633 150126 168844 173706 253266 300252 325273 347412 425357 506532 650546 850714 975819 1276071 1301092 1701428 1951638 2552142 3903276 5104284 5529641 11059282 16588923 22118564 33177846 66355692