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66956076 = 223211219809
BaseRepresentation
bin1111111101101…
…0101100101100
311122222201110200
43333122230230
5114120043301
610351033500
71442055135
oct377325454
9148881420
1066956076
1134882100
121a50b890
1310b441a5
148c6cc8c
155d28c86
hex3fdab2c

66956076 has 108 divisors (see below), whose sum is σ = 196068600. Its totient is φ = 19198080.

The previous prime is 66956069. The next prime is 66956107. The reversal of 66956076 is 67065966.

It is a super-2 number, since 2×669560762 = 8966232226635552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82360 + ... + 83168.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 266956076 is an apocalyptic number.

66956076 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66956076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034300).

66956076 is an abundant number, since it is smaller than the sum of its proper divisors (129112524).

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

66956076 is a wasteful number, since it uses less digits than its factorization.

66956076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

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

The square root of 66956076 is about 8182.6692466456. The cubic root of 66956076 is about 406.0660347022.

The spelling of 66956076 in words is "sixty-six million, nine hundred fifty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 121 132 171 198 209 228 242 342 363 396 418 484 627 684 726 809 836 1089 1254 1452 1618 1881 2178 2299 2427 2508 3236 3762 4356 4598 4854 6897 7281 7524 8899 9196 9708 13794 14562 15371 17798 20691 26697 27588 29124 30742 35596 41382 46113 53394 61484 80091 82764 92226 97889 106788 138339 160182 169081 184452 195778 276678 293667 320364 338162 391556 507243 553356 587334 676324 881001 1014486 1174668 1521729 1762002 1859891 2028972 3043458 3524004 3719782 5579673 6086916 7439564 11159346 16739019 22318692 33478038 66956076