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6800443510756 = 2272172109572
BaseRepresentation
bin110001011110101101000…
…0001010000111111100100
3220002010010121012222021011
41202331122001100333210
51342404302014321011
622244025225232004
71301213221044400
oct142753201207744
926063117188234
106800443510756
112192063090365
12919b7a932604
133a438217356c
14197201004100
15bbd66185621
hex62f5a050fe4

6800443510756 has 81 divisors (see below), whose sum is σ = 14707343389851. Its totient is φ = 2742785692416.

The previous prime is 6800443510753. The next prime is 6800443510787. The reversal of 6800443510756 is 6570153440086.

The square root of 6800443510756 is 2607766.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1126710069156 + 5673733441600 = 1061466^2 + 2381960^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (6800443510753) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 620642830 + ... + 620653786.

Almost surely, 26800443510756 is an apocalyptic number.

6800443510756 is the 2607766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6800443510756

6800443510756 is an abundant number, since it is smaller than the sum of its proper divisors (7906899879095).

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

6800443510756 is an equidigital number, since it uses as much as digits as its factorization.

6800443510756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21966 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 6800443510756 by its sum of digits (49), we get a square (333221732027044 = 182543622).

6800443510756 divided by its sum of digits (49) gives a square (138784561444 = 3725382).

The spelling of 6800443510756 in words is "six trillion, eight hundred billion, four hundred forty-three million, five hundred ten thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 2023 3332 4046 8092 10957 14161 21914 28322 43828 56644 76699 153398 186269 306796 372538 536893 745076 1073786 1303883 2147572 2607766 3166573 5215532 6333146 9127181 12666292 18254362 22166011 36508724 44332022 88664044 120055849 155162077 240111698 310324154 480223396 620648308 840390943 1680781886 2040949433 3361563772 4081898866 5882736601 8163797732 11765473202 14286646031 23530946404 28573292062 34696140361 57146584124 69392280722 100006522217 138784561444 200013044434 242872982527 400026088868 485745965054 971491930108 1700110877689 3400221755378 6800443510756