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66796506 = 2327331349
BaseRepresentation
bin1111111011001…
…1101111011010
311122200121120200
43332303233122
5114044442011
610343403030
71440522000
oct376635732
9148617520
1066796506
1134783227
121a453476
1310ab967a
148c2aa70
155ce6856
hex3fb3bda

66796506 has 96 divisors (see below), whose sum is σ = 174720000. Its totient is φ = 18416160.

The previous prime is 66796487. The next prime is 66796517. The reversal of 66796506 is 60569766.

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 47 ways as a sum of consecutive naturals, for example, 191220 + ... + 191568.

It is an arithmetic number, because the mean of its divisors is an integer number (1820000).

Almost surely, 266796506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66796506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360000).

66796506 is an abundant number, since it is smaller than the sum of its proper divisors (107923494).

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

66796506 is a wasteful number, since it uses less digits than its factorization.

66796506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 66796506 is about 8172.9129445994. The cubic root of 66796506 is about 405.7431986815.

The spelling of 66796506 in words is "sixty-six million, seven hundred ninety-six thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 343 349 434 441 558 651 686 698 882 1029 1047 1302 1519 1953 2058 2094 2443 3038 3087 3141 3906 4557 4886 6174 6282 7329 9114 10633 10819 13671 14658 17101 21266 21638 21987 27342 31899 32457 34202 43974 51303 63798 64914 75733 95697 97371 102606 119707 151466 153909 191394 194742 227199 239414 307818 359121 454398 530131 681597 718242 1060262 1077363 1363194 1590393 2154726 3180786 3710917 4771179 7421834 9542358 11132751 22265502 33398253 66796506