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66037692 = 223721923257
BaseRepresentation
bin1111101111101…
…0011110111100
311121021001200110
43323322132330
5113401201232
610315230020
71431211500
oct373723674
9147231613
1066037692
1134305106
121a148310
13108b2176
148ab0300
155be6acc
hex3efa7bc

66037692 has 144 divisors (see below), whose sum is σ = 197648640. Its totient is φ = 17031168.

The previous prime is 66037667. The next prime is 66037693. The reversal of 66037692 is 29673066.

It is a self number, because there is not a number n which added to its sum of digits gives 66037692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66037693) by changing a digit.

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, 256828 + ... + 257084.

It is an arithmetic number, because the mean of its divisors is an integer number (1372560).

Almost surely, 266037692 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 66037692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98824320).

66037692 is an abundant number, since it is smaller than the sum of its proper divisors (131610948).

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

66037692 is a wasteful number, since it uses less digits than its factorization.

66037692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 66037692 is about 8126.3578557679. The cubic root of 66037692 is about 404.2009179367.

The spelling of 66037692 in words is "sixty-six million, thirty-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 49 57 69 76 84 92 98 114 133 138 147 161 196 228 257 266 276 294 322 399 437 483 514 532 588 644 771 798 874 931 966 1028 1127 1311 1542 1596 1748 1799 1862 1932 2254 2622 2793 3059 3084 3381 3598 3724 4508 4883 5244 5397 5586 5911 6118 6762 7196 9177 9766 10794 11172 11822 12236 12593 13524 14649 17733 18354 19532 21413 21588 23644 25186 29298 34181 35466 36708 37779 41377 42826 50372 58596 64239 68362 70932 75558 82754 85652 102543 112309 124131 128478 136724 151116 165508 205086 224618 239267 248262 256956 289639 336927 410172 449236 478534 496524 579278 673854 717801 786163 868917 957068 1158556 1347708 1435602 1572326 1737834 2358489 2871204 3144652 3475668 4716978 5503141 9433956 11006282 16509423 22012564 33018846 66037692