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66815814 = 231317411229
BaseRepresentation
bin1111111011100…
…0011101000110
311122201121001210
43332320131012
5114101101224
610344032250
71440632202
oct376703506
9148647053
1066815814
113479678a
121a462686
1310ac53b0
148c33b02
155cec429
hex3fb8746

66815814 has 64 divisors (see below), whose sum is σ = 156219840. Its totient is φ = 18862080.

The previous prime is 66815803. The next prime is 66815873. The reversal of 66815814 is 41851866.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53752 + ... + 54980.

It is an arithmetic number, because the mean of its divisors is an integer number (2440935).

Almost surely, 266815814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66815814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78109920).

66815814 is an abundant number, since it is smaller than the sum of its proper divisors (89404026).

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

66815814 is a wasteful number, since it uses less digits than its factorization.

66815814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305.

The product of its digits is 46080, while the sum is 39.

The square root of 66815814 is about 8174.0940782450. The cubic root of 66815814 is about 405.7822892240.

The spelling of 66815814 in words is "sixty-six million, eight hundred fifteen thousand, eight hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 41 51 78 82 102 123 221 246 442 533 663 697 1066 1229 1326 1394 1599 2091 2458 3198 3687 4182 7374 9061 15977 18122 20893 27183 31954 41786 47931 50389 54366 62679 95862 100778 125358 151167 271609 302334 543218 655057 814827 856613 1310114 1629654 1713226 1965171 2569839 3930342 5139678 11135969 22271938 33407907 66815814