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6826820352 = 283114318793
BaseRepresentation
bin1100101101110100…
…10000001100000000
3122121202212101222020
412112322100030000
5102440131222402
63045230241440
7331114005222
oct62672201400
918552771866
106826820352
1129936201a0
1213a6356280
1384a47c591
1448a95a412
1529e50b8bc
hex196e90300

6826820352 has 144 divisors (see below), whose sum is σ = 20283086208. Its totient is φ = 2020515840.

The previous prime is 6826820317. The next prime is 6826820419. The reversal of 6826820352 is 2530286286.

It is a super-2 number, since 2×68268203522 = 93210952236962807808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353868 + ... + 372660.

Almost surely, 26826820352 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 6826820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141543104).

6826820352 is an abundant number, since it is smaller than the sum of its proper divisors (13456265856).

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

6826820352 is a wasteful number, since it uses less digits than its factorization.

6826820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18866 (or 18852 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 6826820352 is about 82624.5747462581. The cubic root of 6826820352 is about 1897.0239977653.

The spelling of 6826820352 in words is "six billion, eight hundred twenty-six million, eight hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 256 258 264 344 352 384 473 516 528 688 704 768 946 1032 1056 1376 1408 1419 1892 2064 2112 2752 2816 2838 3784 4128 4224 5504 5676 7568 8256 8448 11008 11352 15136 16512 18793 22704 30272 33024 37586 45408 56379 60544 75172 90816 112758 121088 150344 181632 206723 225516 300688 363264 413446 451032 601376 620169 808099 826892 902064 1202752 1240338 1616198 1653784 1804128 2405504 2424297 2480676 3232396 3307568 3608256 4811008 4848594 4961352 6464792 6615136 7216512 8889089 9697188 9922704 12929584 13230272 14433024 17778178 19394376 19845408 25859168 26460544 26667267 35556356 38788752 39690816 51718336 52921088 53334534 71112712 77577504 79381632 103436672 106669068 142225424 155155008 158763264 206873344 213338136 284450848 310310016 426676272 568901696 620620032 853352544 1137803392 1706705088 2275606784 3413410176 6826820352