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26798145990 = 235711115110079
BaseRepresentation
bin11000111101010010…
…110100000111000110
32120011121102212101120
4120331102310013012
5414340311132430
620151053134410
71636040324340
oct307522640706
976147385346
1026798145990
11104019447a0
12523a78a406
1326b0c27725
1414230da290
15a6c9b1610
hex63d4b41c6

26798145990 has 128 divisors (see below), whose sum is σ = 80263249920. Its totient is φ = 5563056000.

The previous prime is 26798145989. The next prime is 26798146031. The reversal of 26798145990 is 9954189762.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2653771 + ... + 2663849.

It is an arithmetic number, because the mean of its divisors is an integer number (627056640).

Almost surely, 226798145990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26798145990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40131624960).

26798145990 is an abundant number, since it is smaller than the sum of its proper divisors (53465103930).

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

26798145990 is a wasteful number, since it uses less digits than its factorization.

26798145990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258.

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 26798145990 in words is "twenty-six billion, seven hundred ninety-eight million, one hundred forty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1151 1155 2302 2310 3453 5755 6906 8057 10079 11510 12661 16114 17265 20158 24171 25322 30237 34530 37983 40285 48342 50395 60474 63305 70553 75966 80570 88627 100790 110869 120855 126610 141106 151185 177254 189915 211659 221738 241710 265881 302370 332607 352765 379830 423318 443135 531762 554345 665214 705530 776083 886270 1058295 1108690 1329405 1552166 1663035 2116590 2328249 2658810 3326070 3880415 4656498 7760830 11600929 11641245 23201858 23282490 34802787 58004645 69605574 81206503 116009290 127610219 162413006 174013935 243619509 255220438 348027870 382830657 406032515 487239018 638051095 765661314 812065030 893271533 1218097545 1276102190 1786543066 1914153285 2436195090 2679814599 3828306570 4466357665 5359629198 8932715330 13399072995 26798145990