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67316122161376 = 2511655812916073
BaseRepresentation
bin11110100111001010000011…
…00011001001000011100000
322211100100200021222011210121
433103211001203021003200
532310401404233131001
6355100333303010024
720115300155304244
oct1723450143110340
9284310607864717
1067316122161376
111a4a367503a160
127672395139914
132b73b6319157a
14128a190d62424
157bb0a80376a1
hex3d39418c90e0

67316122161376 has 48 divisors (see below), whose sum is σ = 144578925591408. Its totient is φ = 30597760281600.

The previous prime is 67316122161361. The next prime is 67316122161401.

67316122161376 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21626476 + ... + 24542548.

It is an arithmetic number, because the mean of its divisors is an integer number (3012060949821).

Almost surely, 267316122161376 is an apocalyptic number.

It is an amenable number.

67316122161376 is an abundant number, since it is smaller than the sum of its proper divisors (77262803430032).

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

67316122161376 is a wasteful number, since it uses less digits than its factorization.

67316122161376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981675 (or 2981667 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

It can be divided in two parts, 6731612 and 2161376, that added together give a palindrome (8892988).

The spelling of 67316122161376 in words is "sixty-seven trillion, three hundred sixteen billion, one hundred twenty-two million, one hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 65581 131162 262324 524648 721391 1049296 1442782 2098592 2885564 2916073 5771128 5832146 11542256 11664292 23084512 23328584 32076803 46657168 64153606 93314336 128307212 256614424 513228848 1026457696 191238983413 382477966826 764955933652 1529911867304 2103628817543 3059823734608 4207257635086 6119647469216 8414515270172 16829030540344 33658061080688 67316122161376