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6818343168 = 28371397561
BaseRepresentation
bin1100101100110011…
…11010100100000000
3122121011220201110110
412112121322210000
5102430443440133
63044324431320
7330651650340
oct62631724400
918534821413
106818343168
11298986015a
1213a3548540
138487a1bb0
14489790d20
1529d8d4c63
hex19667a900

6818343168 has 144 divisors (see below), whose sum is σ = 22334673536. Its totient is φ = 1798225920.

The previous prime is 6818343167. The next prime is 6818343283. The reversal of 6818343168 is 8613438186.

It is a super-2 number, since 2×68183431682 = 92979607113224552448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (6818343167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21108 + ... + 118668.

Almost surely, 26818343168 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 6818343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167336768).

6818343168 is an abundant number, since it is smaller than the sum of its proper divisors (15516330368).

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

6818343168 is a wasteful number, since it uses less digits than its factorization.

6818343168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97600 (or 97586 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 6818343168 is about 82573.2594003652. The cubic root of 6818343168 is about 1896.2384645497.

The spelling of 6818343168 in words is "six billion, eight hundred eighteen million, three hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 69888 97561 195122 292683 390244 585366 682927 780488 1170732 1268293 1365854 1560976 2048781 2341464 2536586 2731708 3121952 3804879 4097562 4682928 5073172 5463416 6243904 7609758 8195124 8878051 9365856 10146344 10926832 12487808 15219516 16390248 17756102 18731712 20292688 21853664 24975616 26634153 30439032 32780496 35512204 37463424 40585376 43707328 53268306 60878064 65560992 71024408 74926848 81170752 87414656 106536612 121756128 131121984 142048816 162341504 174829312 213073224 243512256 262243968 284097632 324683008 426146448 487024512 524487936 568195264 852292896 974049024 1136390528 1704585792 2272781056 3409171584 6818343168