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66718386 = 23271929312
BaseRepresentation
bin1111111010000…
…0101010110010
311122112122102100
43332200222302
5114034442021
610342001230
71440045150
oct376405262
9148478370
1066718386
113472a569
121a416216
1310a8cc47
148c0a3d0
155ccd626
hex3fa0ab2

66718386 has 144 divisors (see below), whose sum is σ = 185889600. Its totient is φ = 16873920.

The previous prime is 66718373. The next prime is 66718397. The reversal of 66718386 is 68381766.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2152191 + ... + 2152221.

It is an arithmetic number, because the mean of its divisors is an integer number (1290900).

Almost surely, 266718386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66718386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92944800).

66718386 is an abundant number, since it is smaller than the sum of its proper divisors (119171214).

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

66718386 is a wasteful number, since it uses less digits than its factorization.

66718386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 66718386 is about 8168.1323446673. The cubic root of 66718386 is about 405.5849617453.

The spelling of 66718386 in words is "sixty-six million, seven hundred eighteen thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 31 38 42 57 58 62 63 87 93 114 126 133 171 174 186 203 217 261 266 279 342 399 406 434 522 551 558 589 609 651 798 899 961 1102 1178 1197 1218 1302 1653 1767 1798 1827 1922 1953 2394 2697 2883 3306 3534 3654 3857 3906 4123 4959 5301 5394 5766 6293 6727 7714 8091 8246 8649 9918 10602 11571 12369 12586 13454 16182 17081 17298 18259 18879 20181 23142 24738 27869 34162 34713 36518 37107 37758 40362 51243 54777 55738 56637 60543 69426 74214 83607 102486 109554 113274 119567 121086 127813 153729 164331 167214 195083 239134 250821 255626 307458 328662 358701 383439 390166 501642 529511 585249 717402 766878 1059022 1076103 1150317 1170498 1588533 1755747 2152206 2300634 3177066 3511494 3706577 4765599 7413154 9531198 11119731 22239462 33359193 66718386