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26251100226 = 23213219716397
BaseRepresentation
bin11000011100101100…
…000000000001000010
32111202111002001200100
4120130230000001002
5412230240201401
620020512103230
71616345445621
oct303454000102
974674061610
1026251100226
111015107515a
125107534b16
1326247acb00
1413b05b96b8
15a39953b86
hex61cb00042

26251100226 has 144 divisors (see below), whose sum is σ = 65754037440. Its totient is φ = 7543186560.

The previous prime is 26251100221. The next prime is 26251100231. The reversal of 26251100226 is 62200115262.

26251100226 is a `hidden beast` number, since 2 + 625 + 1 + 10 + 0 + 2 + 26 = 666.

It is an interprime number because it is at equal distance from previous prime (26251100221) and next prime (26251100231).

It is a self number, because there is not a number n which added to its sum of digits gives 26251100226.

It is not an unprimeable number, because it can be changed into a prime (26251100221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4100460 + ... + 4106856.

It is an arithmetic number, because the mean of its divisors is an integer number (456625260).

Almost surely, 226251100226 is an apocalyptic number.

26251100226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26251100226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32877018720).

26251100226 is an abundant number, since it is smaller than the sum of its proper divisors (39502937214).

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

26251100226 is a wasteful number, since it uses less digits than its factorization.

26251100226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 26251100226 its reverse (62200115262), we get a palindrome (88451215488).

The spelling of 26251100226 in words is "twenty-six billion, two hundred fifty-one million, one hundred thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 71 78 114 117 142 169 171 213 234 247 338 342 426 494 507 639 741 923 1014 1278 1349 1482 1521 1846 2223 2698 2769 3042 3211 4047 4446 5538 6397 6422 8094 8307 9633 11999 12141 12794 16614 17537 19191 19266 23998 24282 28899 35074 35997 38382 52611 57573 57798 71994 83161 105222 107991 115146 121543 157833 166322 215982 227981 243086 249483 315666 364629 454187 455962 498966 683943 729258 748449 908374 1081093 1093887 1362561 1367886 1496898 1580059 2051829 2162186 2187774 2725122 3160118 3243279 4087683 4103658 4740177 5904431 6486558 8175366 8629553 9480354 9729837 11808862 14220531 17259106 17713293 19459674 20540767 25888659 28441062 35426586 41081534 51777318 53139879 61622301 76757603 77665977 106279758 112184189 123244602 153515206 155331954 184866903 224368378 230272809 336552567 369733806 460545618 673105134 690818427 1009657701 1381636854 1458394457 2019315402 2916788914 4375183371 8750366742 13125550113 26251100226