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66714442812 = 223229415926417
BaseRepresentation
bin111110001000011111…
…011001110000111100
320101012102222211201100
4332020133121300330
52043112344132222
650352002013100
74551150256503
oct761037316074
9211172884640
1066714442812
1126325622356
1210b1a647190
1363a2851184
14332c51983a
151b06e624ac
hexf887d9c3c

66714442812 has 144 divisors (see below), whose sum is σ = 181745272800. Its totient is φ = 20591800320.

The previous prime is 66714442777. The next prime is 66714442819. The reversal of 66714442812 is 21824441766.

66714442812 is a `hidden beast` number, since 66 + 71 + 4 + 442 + 81 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66714442819) 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, 2512228 + ... + 2538644.

It is an arithmetic number, because the mean of its divisors is an integer number (1262119950).

Almost surely, 266714442812 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 66714442812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90872636400).

66714442812 is an abundant number, since it is smaller than the sum of its proper divisors (115030829988).

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

66714442812 is a wasteful number, since it uses less digits than its factorization.

66714442812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26556 (or 26551 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 66714442812 in words is "sixty-six billion, seven hundred fourteen million, four hundred forty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 59 82 87 116 118 123 164 174 177 236 246 261 348 354 369 492 522 531 708 738 1044 1062 1189 1476 1711 2124 2378 2419 3422 3567 4756 4838 5133 6844 7134 7257 9676 10266 10701 14268 14514 15399 20532 21402 21771 26417 29028 30798 42804 43542 52834 61596 70151 79251 87084 105668 140302 158502 210453 237753 280604 317004 420906 475506 631359 766093 841812 951012 1083097 1262718 1532186 1558603 2166194 2298279 2525436 3064372 3117206 3249291 4332388 4596558 4675809 6234412 6498582 6894837 9193116 9351618 9747873 12997164 13789674 14027427 18703236 19495746 27579348 28054854 31409813 38991492 45199487 56109708 62819626 63902723 90398974 94229439 125639252 127805446 135598461 180797948 188458878 191708169 255610892 271196922 282688317 376917756 383416338 406795383 542393844 565376634 575124507 766832676 813590766 1130753268 1150249014 1627181532 1853178967 2300498028 3706357934 5559536901 7412715868 11119073802 16678610703 22238147604 33357221406 66714442812