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26494398441 = 32722323372
BaseRepresentation
bin11000101011001100…
…000110111111101001
32112101102212220002100
4120223030012333221
5413230031222231
620101002524013
71625361446100
oct305314067751
975342786070
1026494398441
1110266440765
125174b06609
132663016c54
1413d4a2d037
15a50eb21e6
hex62b306fe9

26494398441 has 81 divisors (see below), whose sum is σ = 46676013111. Its totient is φ = 14438438784.

The previous prime is 26494398433. The next prime is 26494398449. The reversal of 26494398441 is 14489349462.

The square root of 26494398441 is 162771.

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

26494398441 is a `hidden beast` number, since 2 + 6 + 494 + 39 + 84 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (26494398433) and next prime (26494398449).

It can be written as a sum of positive squares in only one way, i.e., 7144475625 + 19349922816 = 84525^2 + 139104^2 .

It is not a de Polignac number, because 26494398441 - 23 = 26494398433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26494398449) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 78618225 + ... + 78618561.

Almost surely, 226494398441 is an apocalyptic number.

26494398441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

26494398441 is the 162771-st square number.

26494398441 is the 81386-th centered octagonal number.

It is an amenable number.

26494398441 is a deficient number, since it is larger than the sum of its proper divisors (20181614670).

26494398441 is an equidigital number, since it uses as much as digits as its factorization.

26494398441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 370 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 26494398441 in words is "twenty-six billion, four hundred ninety-four million, three hundred ninety-eight thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 337 441 483 529 1011 1127 1449 1587 2359 3033 3381 3703 4761 7077 7751 10143 11109 16513 21231 23253 25921 33327 49539 54257 69759 77763 113569 148617 162771 178273 233289 340707 379799 488313 534819 794983 1022121 1139397 1247911 1604457 2384949 2612087 3418191 3743733 5564881 7154847 7836261 8735377 11231199 16694643 18284609 23508783 26206131 50083929 54853827 60078001 78618393 127992263 164561481 180234003 383976789 420546007 540702009 1151930367 1261638021 2943822049 3784914063 8831466147 26494398441