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66782285622 = 234131913912007
BaseRepresentation
bin111110001100100010…
…001100111100110110
320101101011122121120000
4332030202030330312
52043232231114442
650402424052130
74552633030113
oct761442147466
9211334577500
1066782285622
112635a94a698
1210b39304046
1363b3915b50
14333753990a
151b0cdb3d4c
hexf8c88cf36

66782285622 has 160 divisors (see below), whose sum is σ = 170869036800. Its totient is φ = 19325241792.

The previous prime is 66782285621. The next prime is 66782285627. The reversal of 66782285622 is 22658228766.

It is a happy number.

66782285622 is a `hidden beast` number, since 6 + 6 + 7 + 8 + 2 + 2 + 8 + 5 + 622 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66782285621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5555943 + ... + 5567949.

It is an arithmetic number, because the mean of its divisors is an integer number (1067931480).

Almost surely, 266782285622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66782285622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85434518400).

66782285622 is an abundant number, since it is smaller than the sum of its proper divisors (104086751178).

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

66782285622 is a wasteful number, since it uses less digits than its factorization.

66782285622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192 (or 12183 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 66782285622 in words is "sixty-six billion, seven hundred eighty-two million, two hundred eighty-five thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 139 162 171 234 247 278 342 351 417 494 513 702 741 834 1026 1053 1251 1482 1539 1807 2106 2223 2502 2641 3078 3614 3753 4446 5282 5421 6669 7506 7923 10842 11259 12007 13338 15846 16263 20007 22518 23769 24014 32526 34333 36021 40014 47538 48789 68666 71307 72042 97578 102999 108063 142614 146367 156091 205998 213921 216126 228133 292734 308997 312182 324189 427842 456266 468273 617994 648378 684399 926991 936546 972567 1368798 1404819 1668973 1853982 1945134 2053197 2780973 2809638 2965729 3337946 4106394 4214457 5006919 5561946 5931458 6159591 8428914 8897187 10013838 12319182 12643371 15020757 17794374 18478773 21696649 25286742 26691561 30041514 31710487 36957546 43393298 45062271 53383122 63420974 65089947 80074683 90124542 95131461 130179894 135186813 160149366 190262922 195269841 240224049 270373626 285394383 390539682 412236331 480448098 570788766 585809523 824472662 856183149 1171619046 1236708993 1712366298 1757428569 2473417986 2568549447 3514857138 3710126979 5137098894 7420253958 11130380937 22260761874 33391142811 66782285622