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26343105426 = 232116710119661
BaseRepresentation
bin11000100010001010…
…111110001110010010
32111222220012102002100
4120202022332032102
5412422313333201
620034000101230
71621543462431
oct304212761622
974886172070
1026343105426
1110198aa6010
125132304816
13263a884661
1413bc8c9118
15a42a79886
hex6222be392

26343105426 has 96 divisors (see below), whose sum is σ = 63823795776. Its totient is φ = 7785360000.

The previous prime is 26343105421. The next prime is 26343105469. The reversal of 26343105426 is 62450134362.

26343105426 is a `hidden beast` number, since 2 + 63 + 43 + 10 + 542 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (26343105421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1330036 + ... + 1349696.

It is an arithmetic number, because the mean of its divisors is an integer number (664831206).

Almost surely, 226343105426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26343105426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31911897888).

26343105426 is an abundant number, since it is smaller than the sum of its proper divisors (37480690350).

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

26343105426 is a wasteful number, since it uses less digits than its factorization.

26343105426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19848 (or 19845 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 26343105426 its reverse (62450134362), we get a palindrome (88793239788).

It can be divided in two parts, 26343 and 105426, that added together give a square (131769 = 3632).

The spelling of 26343105426 in words is "twenty-six billion, three hundred forty-three million, one hundred five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 101 134 198 201 202 303 402 603 606 737 909 1111 1206 1474 1818 2211 2222 3333 4422 6633 6666 6767 9999 13266 13534 19661 19998 20301 39322 40602 58983 60903 74437 117966 121806 148874 176949 216271 223311 353898 432542 446622 648813 669933 1297626 1317287 1339866 1946439 1985761 2634574 3892878 3951861 3971522 5957283 7903722 11855583 11914566 14490157 17871849 21843371 23711166 28980314 35743698 43470471 43686742 65530113 86940942 130411413 131060226 133045987 196590339 260822826 266091974 393180678 399137961 798275922 1197413883 1463505857 2394827766 2927011714 4390517571 8781035142 13171552713 26343105426