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6848083840 = 275131276481
BaseRepresentation
bin1100110000010110…
…10111011110000000
3122200020212200222211
412120023113132000
5103011102140330
63051310111504
7331462516003
oct63013273600
918606780884
106848083840
1129a4623824
1213b14ab594
138519b5b20
1448d6d353a
152a130bd2a
hex1982d7780

6848083840 has 128 divisors (see below), whose sum is σ = 17772088320. Its totient is φ = 2508226560.

The previous prime is 6848083831. The next prime is 6848083841. The reversal of 6848083840 is 483808486.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6848083841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053400 + ... + 1059880.

It is an arithmetic number, because the mean of its divisors is an integer number (138844440).

Almost surely, 26848083840 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 6848083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886044160).

6848083840 is an abundant number, since it is smaller than the sum of its proper divisors (10924004480).

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

6848083840 is a wasteful number, since it uses less digits than its factorization.

6848083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

The square root of 6848083840 is about 82753.1500306786. The cubic root of 6848083840 is about 1898.9915091245.

The spelling of 6848083840 in words is "six billion, eight hundred forty-eight million, eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 127 128 130 160 208 254 260 320 416 508 520 635 640 832 1016 1040 1270 1651 1664 2032 2080 2540 3302 4064 4160 5080 6481 6604 8128 8255 8320 10160 12962 13208 16256 16510 20320 25924 26416 32405 33020 40640 51848 52832 64810 66040 81280 84253 103696 105664 129620 132080 168506 207392 211328 259240 264160 337012 414784 421265 518480 528320 674024 823087 829568 842530 1036960 1056640 1348048 1646174 1685060 2073920 2696096 3292348 3370120 4115435 4147840 5392192 6584696 6740240 8230870 10700131 10784384 13169392 13480480 16461740 21400262 26338784 26960960 32923480 42800524 52677568 53500655 53921920 65846960 85601048 105355136 107001310 131693920 171202096 214002620 263387840 342404192 428005240 526775680 684808384 856010480 1369616768 1712020960 3424041920 6848083840