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6834871216 = 2417194132257
BaseRepresentation
bin1100101110110001…
…11101101110110000
3122122100000102200101
412113120331232300
5102444211334331
63050115002144
7331242306145
oct62730755660
918570012611
106834871216
1129981199a8
1213a8b99354
1384c03abc4
1448ba543cc
152a009c061
hex19763dbb0

6834871216 has 80 divisors (see below), whose sum is σ = 15119969760. Its totient is φ = 2972712960.

The previous prime is 6834871189. The next prime is 6834871237. The reversal of 6834871216 is 6121784386.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 195760 + ... + 228016.

It is an arithmetic number, because the mean of its divisors is an integer number (188999622).

Almost surely, 26834871216 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 6834871216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559984880).

6834871216 is an abundant number, since it is smaller than the sum of its proper divisors (8285098544).

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

6834871216 is a wasteful number, since it uses less digits than its factorization.

6834871216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32342 (or 32336 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 6834871216 is about 82673.2799397726. The cubic root of 6834871216 is about 1897.7694244631.

The spelling of 6834871216 in words is "six billion, eight hundred thirty-four million, eight hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 19 34 38 41 68 76 82 136 152 164 272 304 323 328 646 656 697 779 1292 1394 1558 2584 2788 3116 5168 5576 6232 11152 12464 13243 26486 32257 52972 64514 105944 129028 211888 258056 516112 548369 612883 1096738 1225766 1322537 2193476 2451532 2645074 4386952 4903064 5290148 8773904 9806128 10419011 10580296 20838022 21160592 22483129 25128203 41676044 44966258 50256406 83352088 89932516 100512812 166704176 179865032 201025624 359730064 402051248 427179451 854358902 1708717804 3417435608 6834871216