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4017282627856 = 244342712
BaseRepresentation
bin111010011101011000101…
…101000011100100010000
3112020001022100000011101011
4322131120231003210100
51011304343323042411
612313303020420304
7563145002631211
oct72353055034420
915201270004334
104017282627856
1113097a1349793
1254a6ab9a7694
13231a9c516654
14dc61a78d408
156e7733adc21
hex3a758b43910

4017282627856 has 75 divisors (see below), whose sum is σ = 7998319805703. Its totient is φ = 1954689135840.

The previous prime is 4017282627851. The next prime is 4017282627881. The reversal of 4017282627856 is 6587262827104.

The square root of 4017282627856 is 2004316.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×40172826278562 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4017282627856.

It is not an unprimeable number, because it can be changed into a prime (4017282627851) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 14823921001 + ... + 14823921271.

Almost surely, 24017282627856 is an apocalyptic number.

4017282627856 is the 2004316-th square number.

It is an amenable number.

4017282627856 is a deficient number, since it is larger than the sum of its proper divisors (3981037177847).

4017282627856 is an frugal number, since it uses more digits than its factorization.

4017282627856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 4017282627856 in words is "four trillion, seventeen billion, two hundred eighty-two million, six hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 43 86 172 271 344 542 688 1084 1849 2168 3698 4336 7396 11653 14792 23306 29584 46612 73441 79507 93224 146882 159014 186448 293764 318028 501079 587528 636056 1002158 1175056 1272112 2004316 3157963 3418801 4008632 6315926 6837602 8017264 12631852 13675204 21546397 25263704 27350408 43092794 50527408 54700816 86185588 135792409 172371176 271584818 344742352 543169636 926495071 1086339272 1852990142 2172678544 3705980284 5839073587 7411960568 11678147174 14823921136 23356294348 46712588696 93425177392 251080164241 502160328482 1004320656964 2008641313928 4017282627856