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66648036 = 22372138719
BaseRepresentation
bin1111111000111…
…1011111100100
311122102001220210
43332033133210
5114030214121
610340255420
71436333100
oct376173744
9148361823
1066648036
1134691724
121a3a1570
1310a66c10
148bcc900
155cb7876
hex3f8f7e4

66648036 has 72 divisors (see below), whose sum is σ = 194839680. Its totient is φ = 17575488.

The previous prime is 66648031. The next prime is 66648059. The reversal of 66648036 is 63084666.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 66647985 and 66648003.

It is not an unprimeable number, because it can be changed into a prime (66648031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3285 + ... + 12003.

Almost surely, 266648036 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 66648036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97419840).

66648036 is an abundant number, since it is smaller than the sum of its proper divisors (128191644).

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

66648036 is a wasteful number, since it uses less digits than its factorization.

66648036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8753 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 66648036 is about 8163.8248388853. The cubic root of 66648036 is about 405.4423576931.

The spelling of 66648036 in words is "sixty-six million, six hundred forty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 8719 17438 26157 34876 52314 61033 104628 113347 122066 183099 226694 244132 340041 366198 427231 453388 680082 732396 793429 854462 1281693 1360164 1586858 1708924 2380287 2563386 3173716 4760574 5126772 5554003 9521148 11108006 16662009 22216012 33324018 66648036