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66808014672 = 24371730613821
BaseRepresentation
bin111110001110000100…
…010110011101010000
320101102222001210011210
4332032010112131100
52043310322432142
650405143340120
74553364516660
oct761604263520
9211388053153
1066808014672
1126373423273
1210b45a51640
1363b9053b39
14333ab161a0
151b1029749c
hexf8e116750

66808014672 has 160 divisors (see below), whose sum is σ = 208968125184. Its totient is φ = 17954611200.

The previous prime is 66808014671. The next prime is 66808014709. The reversal of 66808014672 is 27641080866.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66808014671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17482522 + ... + 17486342.

Almost surely, 266808014672 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 66808014672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104484062592).

66808014672 is an abundant number, since it is smaller than the sum of its proper divisors (142160110512).

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

66808014672 is a wasteful number, since it uses less digits than its factorization.

66808014672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 66808014672 in words is "sixty-six billion, eight hundred eight million, fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 3061 3821 5712 6122 7642 9183 11463 12244 15284 18366 21427 22926 24488 26747 30568 36732 42854 45852 48976 52037 53494 61136 64281 64957 73464 80241 85708 91704 104074 106988 128562 129914 146928 156111 160482 171416 183408 194871 208148 213976 257124 259828 312222 320964 342832 364259 389742 416296 427952 454699 514248 519656 624444 641928 728518 779484 832592 909398 1028496 1039312 1092777 1248888 1283856 1364097 1457036 1558968 1818796 2185554 2497776 2728194 2914072 3117936 3637592 4371108 5456388 5828144 7275184 8742216 10912776 11696081 17484432 21825552 23392162 35088243 46784324 70176486 81872567 93568648 140352972 163745134 187137296 198833377 245617701 280705944 327490268 397666754 491235402 561411888 596500131 654980536 795333508 982470804 1193000262 1309961072 1391833639 1590667016 1964941608 2386000524 2783667278 3181334032 3929883216 4175500917 4772001048 5567334556 8351001834 9544002096 11134669112 16702003668 22269338224 33404007336 66808014672