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6828323148 = 22328997127173
BaseRepresentation
bin1100101101111111…
…11111000101001100
3122121212200202102100
412112333333011030
5102441022320043
63045322355100
7331132534443
oct62677770514
918555622370
106828323148
112994457279
1213a695ba90
1384a8875ca
1448ac2bd5a
1529e706cd3
hex196fff14c

6828323148 has 144 divisors (see below), whose sum is σ = 17875952640. Its totient is φ = 2197020672.

The previous prime is 6828323123. The next prime is 6828323149. The reversal of 6828323148 is 8413238286.

It is not an unprimeable number, because it can be changed into a prime (6828323149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39469990 + ... + 39470162.

It is an arithmetic number, because the mean of its divisors is an integer number (124138560).

Almost surely, 26828323148 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 6828323148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8937976320).

6828323148 is an abundant number, since it is smaller than the sum of its proper divisors (11047629492).

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

6828323148 is a wasteful number, since it uses less digits than its factorization.

6828323148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 6828323148 is about 82633.6683682868. The cubic root of 6828323148 is about 1897.1631855945.

The spelling of 6828323148 in words is "six billion, eight hundred twenty-eight million, three hundred twenty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 97 127 173 178 194 254 267 291 346 356 381 388 508 519 534 582 692 762 801 873 1038 1068 1143 1164 1524 1557 1602 1746 2076 2286 3114 3204 3492 4572 6228 8633 11303 12319 15397 16781 17266 21971 22606 24638 25899 30794 33562 33909 34532 36957 43942 45212 46191 49276 50343 51798 61588 65913 67124 67818 73914 77697 87884 92382 100686 101727 103596 110871 131826 135636 138573 147828 151029 155394 184764 197739 201372 203454 221742 263652 277146 302058 310788 395478 406908 443484 554292 604116 790956 1096391 1493509 1955419 2131187 2192782 2987018 3289173 3910838 4262374 4385564 4480527 5866257 5974036 6393561 6578346 7821676 8524748 8961054 9867519 11732514 12787122 13156692 13441581 17598771 17922108 19180683 19735038 23465028 25574244 26883162 35197542 38361366 39470076 53766324 70395084 76722732 189675643 379351286 569026929 758702572 1138053858 1707080787 2276107716 3414161574 6828323148