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6818353152 = 21231342683
BaseRepresentation
bin1100101100110011…
…11101000000000000
3122121011221020011020
412112121331000000
5102430444300102
63044324545440
7330652021422
oct62631750000
918534836136
106818353152
112989867706
1213a3552280
138487a65c0
14489794812
1529d8d7bbc
hex19667d000

6818353152 has 104 divisors (see below), whose sum is σ = 19578980064. Its totient is φ = 2097905664.

The previous prime is 6818353133. The next prime is 6818353159. The reversal of 6818353152 is 2513538186.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6818353159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138403 + ... + 181085.

Almost surely, 26818353152 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 6818353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9789490032).

6818353152 is an abundant number, since it is smaller than the sum of its proper divisors (12760626912).

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

6818353152 is a wasteful number, since it uses less digits than its factorization.

6818353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42723 (or 42701 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 6818353152 is about 82573.3198557500. The cubic root of 6818353152 is about 1896.2393900940.

The spelling of 6818353152 in words is "six billion, eight hundred eighteen million, three hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 9984 12288 13312 19968 26624 39936 42683 53248 79872 85366 128049 159744 170732 256098 341464 512196 554879 682928 1024392 1109758 1365856 1664637 2048784 2219516 2731712 3329274 4097568 4439032 5463424 6658548 8195136 8878064 10926848 13317096 16390272 17756128 21853696 26634192 32780544 35512256 43707392 53268384 65561088 71024512 87414784 106536768 131122176 142049024 174829568 213073536 262244352 284098048 426147072 524488704 568196096 852294144 1136392192 1704588288 2272784384 3409176576 6818353152