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4106654566014 = 2371121362159879
BaseRepresentation
bin111011110000100111101…
…011111100011001111110
3112112120222211002000121210
4323300213223330121332
51014240412032103024
612422323203305250
7602460504601530
oct73604753743176
915476884060553
104106654566014
111343693495700
12563a9237b226
1323a3431962b0
14102a980bb850
1571c54528129
hex3bc27afc67e

4106654566014 has 96 divisors (see below), whose sum is σ = 11111202869760. Its totient is φ = 984612467520.

The previous prime is 4106654565991. The next prime is 4106654566093.

4106654566014 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41066545660142 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31013874 + ... + 31146005.

It is an arithmetic number, because the mean of its divisors is an integer number (115741696560).

Almost surely, 24106654566014 is an apocalyptic number.

4106654566014 is an abundant number, since it is smaller than the sum of its proper divisors (7004548303746).

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

4106654566014 is a wasteful number, since it uses less digits than its factorization.

4106654566014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62159926 (or 62159915 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 4106654566014 in words is "four trillion, one hundred six billion, six hundred fifty-four million, five hundred sixty-six thousand, fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 4719 5082 6006 9438 11011 22022 33033 66066 62159879 124319758 186479637 372959274 435119153 683758669 808078427 870238306 1305357459 1367517338 1616156854 2051276007 2424235281 2610714918 4102552014 4786310683 4848470562 5656548989 7521345359 8888862697 9572621366 11313097978 14358932049 15042690718 16969646967 17777725394 22564036077 26666588091 28717864098 33939293934 45128072154 52649417513 53333176182 62222038879 97777489667 105298835026 124444077758 157948252539 186666116637 195554979334 293332469001 315896505078 373332233274 586664938002 684442427669 1368884855338 2053327283007 4106654566014