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66641718 = 231121323307
BaseRepresentation
bin1111111000110…
…1111100110110
311122101202020210
43332031330312
5114030013333
610340210250
71436305503
oct376157466
9148352223
1066641718
1134687a00
121a399986
1310a64090
148bca4aa
155cb5a63
hex3f8df36

66641718 has 96 divisors (see below), whose sum is σ = 165166848. Its totient is φ = 17772480.

The previous prime is 66641713. The next prime is 66641737. The reversal of 66641718 is 81714666.

It is a happy number.

It is a super-2 number, since 2×666417182 = 8882237155983048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66641711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216921 + ... + 217227.

It is an arithmetic number, because the mean of its divisors is an integer number (1720488).

Almost surely, 266641718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66641718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82583424).

66641718 is an abundant number, since it is smaller than the sum of its proper divisors (98525130).

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

66641718 is a wasteful number, since it uses less digits than its factorization.

66641718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 66641718 is about 8163.4378787371. The cubic root of 66641718 is about 405.4295457839.

It can be divided in two parts, 666417 and 18, that added together give a triangular number (666435 = T1154).

The spelling of 66641718 in words is "sixty-six million, six hundred forty-one thousand, seven hundred eighteen".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 121 138 143 242 253 286 299 307 363 429 506 598 614 726 759 858 897 921 1518 1573 1794 1842 2783 3146 3289 3377 3991 4719 5566 6578 6754 7061 7982 8349 9438 9867 10131 11973 14122 16698 19734 20262 21183 23946 36179 37147 42366 43901 72358 74294 77671 87802 91793 108537 111441 131703 155342 183586 217074 222882 233013 263406 275379 466026 482911 550758 854381 965822 1009723 1448733 1708762 2019446 2563143 2897466 3029169 5126286 6058338 11106953 22213906 33320859 66641718