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66636856 = 231113311879
BaseRepresentation
bin1111111000110…
…0110000111000
311122101111120201
43332030300320
5114024334411
610340131544
71436255356
oct376146070
9148344521
1066636856
1134684290
121a396bb4
1310a61ac0
148bc87d6
155cb43c1
hex3f8cc38

66636856 has 64 divisors (see below), whose sum is σ = 151603200. Its totient is φ = 27043200.

The previous prime is 66636853. The next prime is 66636863. The reversal of 66636856 is 65863666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66636853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34525 + ... + 36403.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 266636856 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 66636856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75801600).

66636856 is an abundant number, since it is smaller than the sum of its proper divisors (84966344).

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

66636856 is a wasteful number, since it uses less digits than its factorization.

66636856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1936 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The square root of 66636856 is about 8163.1400821008. The cubic root of 66636856 is about 405.4196858620.

The spelling of 66636856 in words is "sixty-six million, six hundred thirty-six thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 1879 2728 3224 3758 4433 7516 8866 15032 17732 20669 24427 35464 41338 48854 58249 82676 97708 116498 165352 195416 232996 268697 465992 537394 640739 757237 1074788 1281478 1514474 2149576 2562956 3028948 5125912 6057896 8329607 16659214 33318428 66636856