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8014080746808 = 2332314321941881
BaseRepresentation
bin111010010011110110001…
…1011111010010100111000
31001101010202001210110020100
41310213230123322110320
52022300314132344213
625013341243155400
71454666251251213
oct164475433722470
931333661713210
108014080746808
11260a830722774
12a95223515b60
13461955b652c6
141d9c5277477a
15dd6e81e8773
hex749ec6fa538

8014080746808 has 144 divisors (see below), whose sum is σ = 22938131586240. Its totient is φ = 2525065401600.

The previous prime is 8014080746801. The next prime is 8014080746863. The reversal of 8014080746808 is 8086470804108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8014080746801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3156028 + ... + 5097908.

It is an arithmetic number, because the mean of its divisors is an integer number (159292580460).

Almost surely, 28014080746808 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 8014080746808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11469065793120).

8014080746808 is an abundant number, since it is smaller than the sum of its proper divisors (14924050839432).

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

8014080746808 is a wasteful number, since it uses less digits than its factorization.

8014080746808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942010 (or 1941960 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 8014080746808 in words is "eight trillion, fourteen billion, eighty million, seven hundred forty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 43 62 72 86 93 124 129 172 186 248 258 279 344 372 387 516 558 744 774 1032 1116 1333 1548 1849 2232 2666 3096 3698 3999 5332 5547 7396 7998 10664 11094 11997 14792 15996 16641 22188 23994 31992 33282 44376 47988 57319 66564 95976 114638 133128 171957 229276 343914 458552 515871 687828 1031742 1375656 1941881 2063484 3883762 4126968 5825643 7767524 11651286 15535048 17476929 23302572 34953858 46605144 60198311 69907716 83500883 120396622 139815432 167001766 180594933 240793244 250502649 334003532 361189866 481586488 501005298 541784799 668007064 722379732 751507947 1002010596 1083569598 1444759464 1503015894 2004021192 2167139196 2588527373 3006031788 3590537969 4334278392 5177054746 6012063576 7181075938 7765582119 10354109492 10771613907 14362151876 15531164238 20708218984 21543227814 23296746357 28724303752 31062328476 32314841721 43086455628 46593492714 62124656952 64629683442 86172911256 93186985428 111306677039 129259366884 186373970856 222613354078 258518733768 333920031117 445226708156 667840062234 890453416312 1001760093351 1335680124468 2003520186702 2671360248936 4007040373404 8014080746808