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6312433152 = 29310094073
BaseRepresentation
bin1011110000100000…
…00001011000000000
3121021220221211101110
411320100001120000
5100411440330102
62522213203320
7312266540124
oct57020013000
917256854343
106312433152
11274a227503
121282030540
13797a2aa5c
1443c4db584
1526e2a086c
hex178401600

6312433152 has 80 divisors (see below), whose sum is σ = 16837516080. Its totient is φ = 2101542912.

The previous prime is 6312433129. The next prime is 6312433157. The reversal of 6312433152 is 2513342136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6312433157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1547788 + ... + 1551860.

It is an arithmetic number, because the mean of its divisors is an integer number (210468951).

Almost surely, 26312433152 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 6312433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418758040).

6312433152 is an abundant number, since it is smaller than the sum of its proper divisors (10525082928).

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

6312433152 is a wasteful number, since it uses less digits than its factorization.

6312433152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5087 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 6312433152 is about 79450.8222235617. The cubic root of 6312433152 is about 1848.1289241215.

Adding to 6312433152 its reverse (2513342136), we get a palindrome (8825775288).

The spelling of 6312433152 in words is "six billion, three hundred twelve million, four hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1009 1536 2018 3027 4036 4073 6054 8072 8146 12108 12219 16144 16292 24216 24438 32288 32584 48432 48876 64576 65168 96864 97752 129152 130336 193728 195504 258304 260672 387456 391008 516608 521344 774912 782016 1042688 1549824 1564032 2085376 3128064 4109657 6256128 8219314 12328971 16438628 24657942 32877256 49315884 65754512 98631768 131509024 197263536 263018048 394527072 526036096 789054144 1052072192 1578108288 2104144384 3156216576 6312433152