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6483314232 = 2332473136121
BaseRepresentation
bin1100000100110111…
…11000011000111000
3121201211111111011100
412002123320120320
5101234212023412
62551155531400
7316443155523
oct60233703070
917654444140
106483314232
112827730a3a
12130b2b9b60
137c425b115
1445709dbba
1527e2a6edc
hex1826f8638

6483314232 has 96 divisors (see below), whose sum is σ = 17992802880. Its totient is φ = 2108021760.

The previous prime is 6483314231. The next prime is 6483314261. The reversal of 6483314232 is 2324133846.

6483314232 is a `hidden beast` number, since 6 + 483 + 3 + 142 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6483314231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056132 + ... + 1062252.

It is an arithmetic number, because the mean of its divisors is an integer number (187425030).

Almost surely, 26483314232 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 6483314232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996401440).

6483314232 is an abundant number, since it is smaller than the sum of its proper divisors (11509488648).

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

6483314232 is a wasteful number, since it uses less digits than its factorization.

6483314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6486 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 6483314232 is about 80519.0302475135. The cubic root of 6483314232 is about 1864.6572916658.

The spelling of 6483314232 in words is "six billion, four hundred eighty-three million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 313 376 423 564 626 846 939 1128 1252 1692 1878 2504 2817 3384 3756 5634 6121 7512 11268 12242 14711 18363 22536 24484 29422 36726 44133 48968 55089 58844 73452 88266 110178 117688 132399 146904 176532 220356 264798 287687 353064 440712 529596 575374 863061 1059192 1150748 1726122 1915873 2301496 2589183 3452244 3831746 5178366 5747619 6904488 7663492 10356732 11495238 15326984 17242857 20713464 22990476 34485714 45980952 68971428 90046031 137942856 180092062 270138093 360184124 540276186 720368248 810414279 1080552372 1620828558 2161104744 3241657116 6483314232