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6834536082 = 2331129419677
BaseRepresentation
bin1100101110101111…
…01011111010010010
3122122022101101222000
412113113223322102
5102444120123312
63050103454430
7331236412113
oct62727537222
918568341860
106834536082
112997a10130
1213a8a57416
1384bc514ba
1448b9a820a
152a0032adc
hex1975ebe92

6834536082 has 128 divisors (see below), whose sum is σ = 17559763200. Its totient is φ = 1950681600.

The previous prime is 6834536081. The next prime is 6834536101. The reversal of 6834536082 is 2806354386.

It is a happy number.

6834536082 is a `hidden beast` number, since 6 + 8 + 34 + 5 + 3 + 608 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (6834536081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701428 + ... + 711104.

It is an arithmetic number, because the mean of its divisors is an integer number (137185650).

Almost surely, 26834536082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6834536082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779881600).

6834536082 is an abundant number, since it is smaller than the sum of its proper divisors (10725227118).

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

6834536082 is a wasteful number, since it uses less digits than its factorization.

6834536082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9769 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6834536082 is about 82671.2530569121. The cubic root of 6834536082 is about 1897.7384062023.

The spelling of 6834536082 in words is "six billion, eight hundred thirty-four million, five hundred thirty-six thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 41 54 58 66 82 87 99 123 174 198 246 261 297 319 369 451 522 594 638 738 783 902 957 1107 1189 1353 1566 1914 2214 2378 2706 2871 3567 4059 5742 7134 8118 8613 9677 10701 12177 13079 17226 19354 21402 24354 26158 29031 32103 39237 58062 64206 78474 87093 106447 117711 174186 212894 235422 261279 280633 319341 353133 396757 522558 561266 638682 706266 793514 841899 958023 1190271 1683798 1916046 2380542 2525697 2874069 3086963 3570813 4364327 5051394 5748138 6173926 7141626 7577091 8728654 9260889 10712439 11505953 13092981 15154182 18521778 21424878 23011906 26185962 27782667 34517859 39278943 55565334 69035718 78557886 83348001 103553577 117836829 126565483 166696002 207107154 235673658 253130966 310660731 379696449 621321462 759392898 1139089347 2278178694 3417268041 6834536082