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26823000114 = 23271137239641
BaseRepresentation
bin11000111110110001…
…101000000000110010
32120020100012120211200
4120332301220000302
5414413142000424
620153341552030
71636461511341
oct307661500062
976210176750
1026823000114
111041497aa99
125246b75616
1326b611a401
141426529b58
15a6ec708c9
hex63ec68032

26823000114 has 96 divisors (see below), whose sum is σ = 59706616320. Its totient is φ = 8700518400.

The previous prime is 26823000107. The next prime is 26823000121. The reversal of 26823000114 is 41100032862.

It is an interprime number because it is at equal distance from previous prime (26823000107) and next prime (26823000121).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41845234 + ... + 41845874.

It is an arithmetic number, because the mean of its divisors is an integer number (621943920).

Almost surely, 226823000114 is an apocalyptic number.

26823000114 is the 87543-rd nonagonal number.

26823000114 is an abundant number, since it is smaller than the sum of its proper divisors (32883616206).

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

26823000114 is a wasteful number, since it uses less digits than its factorization.

26823000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 26823000114 its reverse (41100032862), we get a palindrome (67923032976).

The spelling of 26823000114 in words is "twenty-six billion, eight hundred twenty-three million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 71 137 142 213 239 274 411 426 478 639 641 717 822 1233 1278 1282 1434 1923 2151 2466 3846 4302 5769 9727 11538 16969 19454 29181 32743 33938 45511 50907 58362 65486 87543 87817 91022 98229 101814 136533 152721 153199 175086 175634 196458 263451 273066 294687 305442 306398 409599 459597 526902 589374 790353 819198 919194 1378791 1580706 2324753 2757582 4649506 6235007 6974259 10877129 12470014 13948518 18705021 20922777 20988263 21754258 32631387 37410042 41845554 41976526 56115063 62964789 65262774 97894161 112230126 125929578 188894367 195788322 377788734 1490166673 2980333346 4470500019 8941000038 13411500057 26823000114