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6370131328 = 271127716333
BaseRepresentation
bin1011110111011000…
…00111110110000000
3121102221112012101221
411323230013312000
5101021223200303
62532034004424
7313600136311
oct57354076600
917387465357
106370131328
112779855a50
121299416714
137a69800a2
1444603a608
1527439b4bd
hex17bb07d80

6370131328 has 64 divisors (see below), whose sum is σ = 13895007120. Its totient is φ = 2884884480.

The previous prime is 6370131283. The next prime is 6370131389. The reversal of 6370131328 is 8231310736.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 6370131293 and 6370131302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381850 + ... + 398182.

Almost surely, 26370131328 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 6370131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947503560).

6370131328 is an abundant number, since it is smaller than the sum of its proper divisors (7524875792).

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

6370131328 is a wasteful number, since it uses less digits than its factorization.

6370131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16635 (or 16623 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 6370131328 is about 79813.1024832389. The cubic root of 6370131328 is about 1853.7427349221.

The spelling of 6370131328 in words is "six billion, three hundred seventy million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 277 352 554 704 1108 1408 2216 3047 4432 6094 8864 12188 16333 17728 24376 32666 35456 48752 65332 97504 130664 179663 195008 261328 359326 390016 522656 718652 1045312 1437304 2090624 2874608 4524241 5749216 9048482 11498432 18096964 22996864 36193928 49766651 72387856 99533302 144775712 199066604 289551424 398133208 579102848 796266416 1592532832 3185065664 6370131328