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26835354225 = 32526721632
BaseRepresentation
bin11000111111100000…
…110000001001110001
32120021012110020111100
4120333200300021301
5414424322313400
620154502435013
71640001514221
oct307740601161
976235406440
1026835354225
11104209488a9
12524b132a69
1326b8854634
141428024081
15a70db1100
hex63f830271

26835354225 has 81 divisors (see below), whose sum is σ = 49094379243. Its totient is φ = 14012079840.

The previous prime is 26835354187. The next prime is 26835354239. The reversal of 26835354225 is 52245353862.

The square root of 26835354225 is 163815.

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

26835354225 is a `hidden beast` number, since 2 + 6 + 83 + 5 + 3 + 542 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9660727521 + 17174626704 = 98289^2 + 131052^2 .

It is not a de Polignac number, because 26835354225 - 213 = 26835346033 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 164633994 + ... + 164634156.

Almost surely, 226835354225 is an apocalyptic number.

26835354225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26835354225 is the 163815-th square number.

26835354225 is the 81908-th centered octagonal number.

It is an amenable number.

26835354225 is a deficient number, since it is larger than the sum of its proper divisors (22259025018).

26835354225 is an equidigital number, since it uses as much as digits as its factorization.

26835354225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 26835354225 in words is "twenty-six billion, eight hundred thirty-five million, three hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 67 75 163 201 225 335 489 603 815 1005 1467 1675 2445 3015 4075 4489 5025 7335 10921 12225 13467 15075 22445 26569 32763 36675 40401 54605 67335 79707 98289 112225 132845 163815 202005 239121 273025 336675 398535 491445 664225 731707 819075 1010025 1195605 1780123 1992675 2195121 2457225 3658535 5340369 5978025 6585363 8900615 10975605 16021107 18292675 26701845 32926815 44503075 54878025 80105535 119268241 133509225 164634075 357804723 400527675 596341205 1073414169 1789023615 2981706025 5367070845 8945118075 26835354225