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6771713670 = 23351012391039
BaseRepresentation
bin1100100111010000…
…00010011010000110
3122110221011200211000
412103220002122012
5102332024314140
63035541154130
7326544421311
oct62350023206
918427150730
106771713670
112965501787
12138b9bb946
1383bc26987
144834d3978
15299773a30
hex193a02686

6771713670 has 128 divisors (see below), whose sum is σ = 18330624000. Its totient is φ = 1778716800.

The previous prime is 6771713653. The next prime is 6771713681. The reversal of 6771713670 is 763171776.

6771713670 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67717136702 = 91712212056929737800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6517011 + ... + 6518049.

It is an arithmetic number, because the mean of its divisors is an integer number (143208000).

Almost surely, 26771713670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6771713670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165312000).

6771713670 is an abundant number, since it is smaller than the sum of its proper divisors (11558910330).

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

6771713670 is a wasteful number, since it uses less digits than its factorization.

6771713670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 6771713670 is about 82290.4227112730. The cubic root of 6771713670 is about 1891.9058879761.

The spelling of 6771713670 in words is "six billion, seven hundred seventy-one million, seven hundred thirteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 239 270 303 478 505 606 717 909 1010 1039 1195 1434 1515 1818 2078 2151 2390 2727 3030 3117 3585 4302 4545 5195 5454 6234 6453 7170 9090 9351 10390 10755 12906 13635 15585 18702 21510 24139 27270 28053 31170 32265 46755 48278 56106 64530 72417 93510 104939 120695 140265 144834 209878 217251 241390 248321 280530 314817 362085 434502 496642 524695 629634 651753 724170 744963 944451 1049390 1086255 1241605 1303506 1489926 1574085 1888902 2172510 2234889 2483210 2833353 3148170 3258765 3724815 4469778 4722255 5666706 6517530 6704667 7449630 9444510 11174445 13409334 14166765 22348890 25080421 28333530 33523335 50160842 67046670 75241263 125402105 150482526 225723789 250804210 376206315 451447578 677171367 752412630 1128618945 1354342734 2257237890 3385856835 6771713670