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26845184025 = 34521123312
BaseRepresentation
bin11001000000000110…
…010000000000011001
32120021212221122110000
4121000012100000121
5414434331342100
620155453243213
71640151204432
oct310006200031
976255848400
1026845184025
1110426452100
125252493509
1326ba8b689a
141429462489
15a71ba3900
hex640190019

26845184025 has 135 divisors (see below), whose sum is σ = 54823749519. Its totient is φ = 12976524000.

The previous prime is 26845184011. The next prime is 26845184027. The reversal of 26845184025 is 52048154862.

The square root of 26845184025 is 163845.

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

It can be written as a sum of positive squares in only one way, i.e., 9664266249 + 17180917776 = 98307^2 + 131076^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 26845184025 - 223 = 26836795417 is a prime.

It is a super-2 number, since 2×268451840252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (26845184027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 81103110 + ... + 81103440.

Almost surely, 226845184025 is an apocalyptic number.

26845184025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26845184025 is the 163845-th square number.

26845184025 is the 81923-rd centered octagonal number.

It is an amenable number.

26845184025 is an abundant number, since it is smaller than the sum of its proper divisors (27978565494).

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

26845184025 is an equidigital number, since it uses as much as digits as its factorization.

26845184025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 26845184025 in words is "twenty-six billion, eight hundred forty-five million, one hundred eighty-four thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 275 297 331 363 405 495 605 675 825 891 993 1089 1485 1655 1815 2025 2475 2979 3025 3267 3641 4455 4965 5445 7425 8275 8937 9075 9801 10923 14895 16335 18205 22275 24825 26811 27225 32769 40051 44685 49005 54615 74475 81675 91025 98307 109561 120153 134055 163845 200255 223425 245025 273075 294921 328683 360459 491535 547805 600765 670275 819225 986049 1001275 1081377 1205171 1474605 1643415 1802295 2457675 2739025 2958147 3003825 3244131 3615513 4930245 5406885 6025855 7373025 8217075 8874441 9011475 10846539 13256881 14790735 16220655 18077565 24651225 27034425 30129275 32539617 39770643 44372205 54232695 66284405 73953675 81103275 90387825 97618851 119311929 162698085 198853215 221861025 271163475 331422025 357935787 488094255 596559645 813490425 994266075 1073807361 1789678935 2440471275 2982798225 5369036805 8948394675 26845184025