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6340505712 = 243299714691
BaseRepresentation
bin1011110011110110…
…00111000001110000
3121100212210001200220
411321323013001300
5100441132140322
62525055013040
7313060260252
oct57173070160
917325701626
106340505712
112764060872
12128b50a180
137a07a9638
14442127cd2
1527199855c
hex179ec7070

6340505712 has 80 divisors (see below), whose sum is σ = 16965521280. Its totient is φ = 2038086400.

The previous prime is 6340505681. The next prime is 6340505723. The reversal of 6340505712 is 2175050436.

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 15 ways as a sum of consecutive naturals, for example, 1349287 + ... + 1353977.

It is an arithmetic number, because the mean of its divisors is an integer number (212069016).

Almost surely, 26340505712 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 6340505712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482760640).

6340505712 is an abundant number, since it is smaller than the sum of its proper divisors (10625015568).

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

6340505712 is a wasteful number, since it uses less digits than its factorization.

6340505712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 6340505712 is about 79627.2925070293. The cubic root of 6340505712 is about 1850.8645301403.

The spelling of 6340505712 in words is "six billion, three hundred forty million, five hundred five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 971 1392 1942 2913 3884 4691 5826 7768 9382 11652 14073 15536 18764 23304 28146 28159 37528 46608 56292 56318 75056 84477 112584 112636 136039 168954 225168 225272 272078 337908 408117 450544 544156 675816 816234 1088312 1351632 1632468 2176624 3264936 4554961 6529872 9109922 13664883 18219844 27329766 36439688 54659532 72879376 109319064 132093869 218638128 264187738 396281607 528375476 792563214 1056750952 1585126428 2113501904 3170252856 6340505712