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6766991112 = 2337891014481
BaseRepresentation
bin1100100110101100…
…00001011100001000
3122110121021202200110
412103112001130020
5102324322203422
63035252034320
7326456322030
oct62326013410
918417252613
106766991112
112962876642
12138a3029a0
1383ac6226b
14482a248c0
1529913e60c
hex193581708

6766991112 has 128 divisors (see below), whose sum is σ = 19749484800. Its totient is φ = 1892352000.

The previous prime is 6766991111. The next prime is 6766991149. The reversal of 6766991112 is 2111996676.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6766991111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1507912 + ... + 1512392.

It is an arithmetic number, because the mean of its divisors is an integer number (154292850).

Almost surely, 26766991112 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 6766991112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9874742400).

6766991112 is an abundant number, since it is smaller than the sum of its proper divisors (12982493688).

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

6766991112 is a wasteful number, since it uses less digits than its factorization.

6766991112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4683 counting only the distinct ones).

The product of its digits is 244944, while the sum is 48.

The square root of 6766991112 is about 82261.7232496378. The cubic root of 6766991112 is about 1891.4659839126.

The spelling of 6766991112 in words is "six billion, seven hundred sixty-six million, nine hundred ninety-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 101 168 178 202 267 303 356 404 534 606 623 707 712 808 1068 1212 1246 1414 1869 2121 2136 2424 2492 2828 3738 4242 4481 4984 5656 7476 8484 8962 8989 13443 14952 16968 17924 17978 26886 26967 31367 35848 35956 53772 53934 62734 62923 71912 94101 107544 107868 125468 125846 188202 188769 215736 250936 251692 376404 377538 398809 452581 503384 752808 755076 797618 905162 1196427 1357743 1510152 1595236 1810324 2392854 2715486 2791663 3168067 3190472 3620648 4785708 5430972 5583326 6336134 8374989 9504201 9571416 10861944 11166652 12672268 16749978 19008402 22333304 25344536 33499956 38016804 40279709 66999912 76033608 80559418 120839127 161118836 241678254 281957963 322237672 483356508 563915926 845873889 966713016 1127831852 1691747778 2255663704 3383495556 6766991112