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66616755761666 = 2116163185139241
BaseRepresentation
bin11110010010110011011000…
…00100000011001000000010
322201212111111020201000021002
433021121230010003020002
532212422103433333131
6353403152021532002
720013621211062005
oct1711315404031002
9281774436630232
1066616755761666
111a254009a28870
12757a934874002
132b22c19085b56
1412643a7c6d53c
157a7cc48d86cb
hex3c966c103202

66616755761666 has 64 divisors (see below), whose sum is σ = 110996907386112. Its totient is φ = 29730032640000.

The previous prime is 66616755761663. The next prime is 66616755761669.

66616755761666 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (66616755761663) and next prime (66616755761669).

It is a junction number, because it is equal to n+sod(n) for n = 66616755761593 and 66616755761602.

It is not an unprimeable number, because it can be changed into a prime (66616755761663) 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, 7208820806 + ... + 7208830046.

It is an arithmetic number, because the mean of its divisors is an integer number (1734326677908).

Almost surely, 266616755761666 is an apocalyptic number.

66616755761666 is a deficient number, since it is larger than the sum of its proper divisors (44380151624446).

66616755761666 is a wasteful number, since it uses less digits than its factorization.

66616755761666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18459.

The product of its digits is 2057529600, while the sum is 74.

The spelling of 66616755761666 in words is "sixty-six trillion, six hundred sixteen billion, seven hundred fifty-five million, seven hundred sixty-one thousand, six hundred sixty-six".

Divisors: 1 2 11 22 61 122 631 671 1262 1342 6941 8513 9241 13882 17026 18482 38491 76982 93643 101651 187286 203302 423401 519293 563701 846802 1038586 1127402 5371703 5712223 5831071 6200711 10743406 11424446 11662142 12401422 59088733 64141781 78668633 118177466 128283562 157337266 327673883 355695331 655347766 711390662 865354963 1730709926 3604412713 3912648641 4798786613 7208825426 7825297282 9597573226 49639907423 52786652743 99279814846 105573305486 546038981653 1092077963306 3028034352803 6056068705606 33308377880833 66616755761666