Search a number
-
+
26064488025 = 32524722292
BaseRepresentation
bin11000010001100100…
…001000011001011001
32111021110221011212100
4120101210020121121
5411340002104100
615550204234013
71611621331002
oct302144103131
974243834770
1026064488025
11100657a66a4
125074b3b909
1325c4c323a4
1413938c01a9
15a28391400
hex611908659

26064488025 has 81 divisors (see below), whose sum is σ = 47908014141. Its totient is φ = 13545881280.

The previous prime is 26064488011. The next prime is 26064488063. The reversal of 26064488025 is 52088446062.

The square root of 26064488025 is 161445.

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 3557287449 + 22507200576 = 59643^2 + 150024^2 .

It is not a de Polignac number, because 26064488025 - 25 = 26064487993 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 113818611 + ... + 113818839.

Almost surely, 226064488025 is an apocalyptic number.

26064488025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26064488025 is the 161445-th square number.

26064488025 is the 80723-rd centered octagonal number.

It is an amenable number.

26064488025 is a deficient number, since it is larger than the sum of its proper divisors (21843526116).

26064488025 is an equidigital number, since it uses as much as digits as its factorization.

26064488025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

It can be divided in two parts, 26064 and 488025, that added together give a square (514089 = 7172).

The spelling of 26064488025 in words is "twenty-six billion, sixty-four million, four hundred eighty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 229 235 423 687 705 1145 1175 2061 2115 2209 3435 3525 5725 6627 10305 10575 10763 11045 17175 19881 32289 33135 51525 52441 53815 55225 96867 99405 157323 161445 165675 262205 269075 471969 484335 497025 505861 786615 807225 1311025 1517583 2359845 2421675 2464727 2529305 3933075 4552749 7394181 7587915 11799225 12323635 12646525 22182543 22763745 36970905 37939575 61618175 110912715 113818725 115842169 184854525 347526507 554563575 579210845 1042579521 1737632535 2896054225 5212897605 8688162675 26064488025