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6807444342912 = 27346563100043
BaseRepresentation
bin110001100001111101101…
…0011010100100010000000
3220002210012111112002120000
41203003323103110202000
51343013121222433122
622251144033320000
71301551550120643
oct143037323244200
926083174462500
106807444342912
112195025953164
1291b3b3406000
133a4c296ab1b5
141976a6ad9a5a
15bc125ab60ac
hex630fb4d4880

6807444342912 has 160 divisors (see below), whose sum is σ = 20262133417680. Its totient is φ = 2268779687424.

The previous prime is 6807444342911. The next prime is 6807444342943. The reversal of 6807444342912 is 2192434447086.

6807444342912 is a `hidden beast` number, since 6 + 8 + 0 + 74 + 443 + 42 + 91 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6807444342911) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67995163 + ... + 68095205.

Almost surely, 26807444342912 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 6807444342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131066708840).

6807444342912 is an abundant number, since it is smaller than the sum of its proper divisors (13454689074768).

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

6807444342912 is a wasteful number, since it uses less digits than its factorization.

6807444342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106632 (or 106611 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

Adding to 6807444342912 its reverse (2192434447086), we get a palindrome (8999878789998).

The spelling of 6807444342912 in words is "six trillion, eight hundred seven billion, four hundred forty-four million, three hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 6563 10368 13126 19689 26252 39378 52504 59067 78756 100043 105008 118134 157512 177201 200086 210016 236268 300129 315024 354402 400172 420032 472536 531603 600258 630048 708804 800344 840064 900387 945072 1063206 1200516 1260096 1417608 1600688 1800774 1890144 2126412 2401032 2520192 2701161 2835216 3201376 3601548 3780288 4252824 4802064 5402322 5670432 6402752 7203096 7560576 8103483 8505648 9604128 10804644 11340864 12805504 14406192 16206966 17011296 19208256 21609288 22681728 28812384 32413932 34022592 38416512 43218576 57624768 64827864 68045184 86437152 115249536 129655728 172874304 259311456 345748608 518622912 656582209 1037245824 1313164418 1969746627 2626328836 3939493254 5252657672 5909239881 7878986508 10505315344 11818479762 15757973016 17727719643 21010630688 23636959524 31515946032 35455439286 42021261376 47273919048 53183158929 63031892064 70910878572 84042522752 94547838096 106366317858 126063784128 141821757144 189095676192 212732635716 252127568256 283643514288 378191352384 425465271432 567287028576 756382704768 850930542864 1134574057152 1701861085728 2269148114304 3403722171456 6807444342912