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68200068848 = 2429374399049
BaseRepresentation
bin111111100001000010…
…100111011011110000
320112000222110110111212
4333201002213123300
52104133204200343
651155232055252
74633030006652
oct774102473360
9215028413455
1068200068848
1126a1818516a
1211274094528
13657b57ca32
14342d95a6d2
151b925bcc18
hexfe10a76f0

68200068848 has 80 divisors (see below), whose sum is σ = 140723880000. Its totient is φ = 31957825536.

The previous prime is 68200068787. The next prime is 68200068857. The reversal of 68200068848 is 84886000286.

It is a junction number, because it is equal to n+sod(n) for n = 68200068796 and 68200068805.

It is a congruent 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, 7532228 + ... + 7541276.

It is an arithmetic number, because the mean of its divisors is an integer number (1759048500).

Almost surely, 268200068848 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 68200068848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70361940000).

68200068848 is an abundant number, since it is smaller than the sum of its proper divisors (72523811152).

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

68200068848 is a wasteful number, since it uses less digits than its factorization.

68200068848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 50.

The spelling of 68200068848 in words is "sixty-eight billion, two hundred million, sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 439 464 592 878 1073 1756 2146 3512 4292 7024 8584 9049 12731 16243 17168 18098 25462 32486 36196 50924 64972 72392 101848 129944 144784 203696 259888 262421 334813 471047 524842 669626 942094 1049684 1339252 1884188 2099368 2678504 3768376 3972511 4198736 5357008 7536752 7945022 9709577 15890044 19419154 31780088 38838308 63560176 77676616 115202819 146982907 155353232 230405638 293965814 460811276 587931628 921622552 1175863256 1843245104 2351726512 4262504303 8525008606 17050017212 34100034424 68200068848