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6830348102232 = 2334122934998663
BaseRepresentation
bin110001101100101000001…
…1110001110101001011000
3220011222022200222121202020
41203121100132032221120
51343402023103232412
622305452452334440
71303322251633314
oct143312036165130
926158280877666
106830348102232
1121a3809489576
12923925914420
133a71398419c5
1419883a8d4b44
15bca1671518c
hex6365078ea58

6830348102232 has 128 divisors (see below), whose sum is σ = 17575790400000. Its totient is φ = 2210664360960.

The previous prime is 6830348102209. The next prime is 6830348102243. The reversal of 6830348102232 is 2322018430386.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788446333 + ... + 788454995.

It is an arithmetic number, because the mean of its divisors is an integer number (137310862500).

Almost surely, 26830348102232 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 6830348102232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787895200000).

6830348102232 is an abundant number, since it is smaller than the sum of its proper divisors (10745442297768).

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

6830348102232 is a wasteful number, since it uses less digits than its factorization.

6830348102232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12441 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 6830348102232 in words is "six trillion, eight hundred thirty billion, three hundred forty-eight million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 229 246 328 458 492 687 916 984 1374 1832 2748 3499 5496 6998 8663 9389 10497 13996 17326 18778 20994 25989 27992 28167 34652 37556 41988 51978 56334 69304 75112 83976 103956 112668 143459 207912 225336 286918 355183 430377 573836 710366 801271 860754 1065549 1147672 1420732 1602542 1721508 1983827 2131098 2403813 2841464 3205084 3443016 3967654 4262196 4807626 5951481 6410168 7935308 8524392 9615252 11902962 15870616 19230504 23805924 30311837 32852111 47611848 60623674 65704222 81336907 90935511 98556333 121247348 131408444 162673814 181871022 197112666 242494696 244010721 262816888 325347628 363742044 394225332 488021442 650695256 727484088 788450664 976042884 1242785317 1952085768 2485570634 3728355951 4971141268 6941410673 7456711902 9942282536 13882821346 14913423804 20824232019 27765642692 29826847608 41648464038 55531285384 83296928076 166593856152 284597837593 569195675186 853793512779 1138391350372 1707587025558 2276782700744 3415174051116 6830348102232