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6791434057444 = 2223218123132
BaseRepresentation
bin110001011010100000100…
…0000111011011011100100
3220001020212201100022202011
41202311001000323123210
51342232324104314234
622235535225324004
71300444032001561
oct142650100733344
926036781308664
106791434057444
11218925a522783
12918285636604
133a35777634ba
141969c864b868
15bb9da23cb64
hex62d4103b6e4

6791434057444 has 81 divisors (see below), whose sum is σ = 12533279419899. Its totient is φ = 3219812069760.

The previous prime is 6791434057427. The next prime is 6791434057483. The reversal of 6791434057444 is 4447504341976.

The square root of 6791434057444 is 2606038.

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 6561333480100 + 230100577344 = 2561510^2 + 479688^2 .

It is a super-2 number, since 2×67914340574442 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21697872232 + ... + 21697872544.

Almost surely, 26791434057444 is an apocalyptic number.

6791434057444 is the 2606038-th square number.

It is an amenable number.

6791434057444 is a deficient number, since it is larger than the sum of its proper divisors (5741845362455).

6791434057444 is an equidigital number, since it uses as much as digits as its factorization.

6791434057444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 6791434057444 in words is "six trillion, seven hundred ninety-one billion, four hundred thirty-four million, fifty-seven thousand, four hundred forty-four".

Divisors: 1 2 4 23 46 92 181 313 362 529 626 724 1058 1252 2116 4163 7199 8326 14398 16652 28796 32761 56653 65522 95749 97969 113306 131044 165577 191498 195938 226612 331154 382996 391876 662308 753503 1303019 1507006 2253287 2606038 3014012 4506574 5212076 9013148 10254193 17330569 17732389 20508386 29969437 34661138 35464778 41016772 51825601 59938874 69322276 70929556 103651202 119877748 207302404 235846439 407844947 471692878 815689894 943385756 1631379788 3209562409 5424468097 6419124818 9380433781 10848936194 12838249636 18760867562 21697872388 37521735124 73819935407 147639870814 295279741628 1697858514361 3395717028722 6791434057444