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26115206404 = 2274172972
BaseRepresentation
bin11000010100100101…
…100110110100000100
32111102000100221101211
4120110211212310010
5411440443101104
615555215301204
71613105410000
oct302445466404
974360327354
1026115206404
1110091398111
125089b1a804
1326025ac771
14139a523700
15a2ca5de04
hex614966d04

26115206404 has 135 divisors (see below), whose sum is σ = 57225950943. Its totient is φ = 10425268224.

The previous prime is 26115206401. The next prime is 26115206443. The reversal of 26115206404 is 40460251162.

It is a happy number.

The square root of 26115206404 is 161602.

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 1528966404 + 24586240000 = 39102^2 + 156800^2 .

It is a super-2 number, since 2×261152064042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26115206401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 269228884 + ... + 269228980.

Almost surely, 226115206404 is an apocalyptic number.

26115206404 is the 161602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26115206404

26115206404 is an abundant number, since it is smaller than the sum of its proper divisors (31110744539).

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

26115206404 is an frugal number, since it uses more digits than its factorization.

26115206404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 26115206404 its reverse (40460251162), we get a palindrome (66575457566).

It can be divided in two parts, 2611520 and 6404, that added together give a square (2617924 = 16182).

The spelling of 26115206404 in words is "twenty-six billion, one hundred fifteen million, two hundred six thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 97 98 119 194 196 238 289 343 388 476 578 679 686 833 1156 1358 1372 1649 1666 2023 2401 2716 3298 3332 4046 4753 4802 5831 6596 8092 9409 9506 9604 11543 11662 14161 18818 19012 23086 23324 28033 28322 33271 37636 40817 46172 56066 56644 65863 66542 80801 81634 99127 112132 131726 133084 159953 161602 163268 196231 198254 232897 263452 319906 323204 392462 396508 461041 465794 565607 639812 693889 784924 922082 931588 1119671 1131214 1373617 1387778 1844164 2239342 2262428 2719201 2747234 2775556 3227287 3959249 4478684 5438402 5494468 6454574 7837697 7918498 9615319 10876804 12909148 15675394 15836996 19034407 19230638 22591009 31350788 38068814 38461276 45182018 54863879 67307233 76137628 90364036 109727758 133240849 134614466 219455516 266481698 269228932 384047153 532963396 768094306 932685943 1536188612 1865371886 3730743772 6528801601 13057603202 26115206404