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66888198 = 232131971451
BaseRepresentation
bin1111111100101…
…0001000000110
311122212021100200
43333022020012
5114110410243
610345351330
71441353216
oct377121006
9148767320
1066888198
1134836103
121a498546
1310b1c320
148c52246
155d13ad3
hex3fca206

66888198 has 48 divisors (see below), whose sum is σ = 156972816. Its totient is φ = 20462400.

The previous prime is 66888197. The next prime is 66888223. The reversal of 66888198 is 89188866.

66888198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66888197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45373 + ... + 46823.

It is an arithmetic number, because the mean of its divisors is an integer number (3270267).

Almost surely, 266888198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66888198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78486408).

66888198 is an abundant number, since it is smaller than the sum of its proper divisors (90084618).

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

66888198 is a wasteful number, since it uses less digits than its factorization.

66888198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1666 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 66888198 is about 8178.5205263544. The cubic root of 66888198 is about 405.9287692423.

The spelling of 66888198 in words is "sixty-six million, eight hundred eighty-eight thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 394 591 1182 1451 1773 2561 2902 3546 4353 5122 7683 8706 13059 15366 18863 23049 26118 37726 46098 56589 113178 169767 285847 339534 571694 857541 1715082 2572623 3716011 5145246 7432022 11148033 22296066 33444099 66888198