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66063114 = 23413219127
BaseRepresentation
bin1111110000000…
…0101100001010
311121022100120000
43330000230022
5113403004424
610315543430
71431345555
oct374005412
9147270500
1066063114
1134322217
121a15ab76
13108c0900
148ab969c
155bee3c9
hex3f00b0a

66063114 has 120 divisors (see below), whose sum is σ = 170058240. Its totient is φ = 19105632.

The previous prime is 66063097. The next prime is 66063119. The reversal of 66063114 is 41136066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66063119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 520119 + ... + 520245.

It is an arithmetic number, because the mean of its divisors is an integer number (1417152).

Almost surely, 266063114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66063114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85029120).

66063114 is an abundant number, since it is smaller than the sum of its proper divisors (103995126).

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

66063114 is a wasteful number, since it uses less digits than its factorization.

66063114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66063114 is about 8127.9218746245. The cubic root of 66063114 is about 404.2527786096.

The spelling of 66063114 in words is "sixty-six million, sixty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 127 162 169 171 234 247 254 338 342 351 381 494 507 513 702 741 762 1014 1026 1053 1143 1482 1521 1539 1651 2106 2223 2286 2413 3042 3078 3211 3302 3429 4446 4563 4826 4953 6422 6669 6858 7239 9126 9633 9906 10287 13338 13689 14478 14859 19266 20007 20574 21463 21717 27378 28899 29718 31369 40014 42926 43434 44577 57798 62738 64389 65151 86697 89154 94107 128778 130302 133731 173394 188214 193167 195453 260091 267462 282321 386334 390906 407797 520182 564642 579501 815594 846963 1159002 1223391 1693926 1738503 2446782 2540889 3477006 3670173 5081778 7340346 11010519 22021038 33031557 66063114