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26905359150 = 23252473174013
BaseRepresentation
bin11001000011101011…
…110011001100101110
32120110002011212012100
4121003223303030232
5420100232443100
620205443115530
71641511531215
oct310353631456
976402155170
1026905359150
111045741260a
12526a672ba6
1326ca1c5477
14143344807c
15a770dd400
hex643af332e

26905359150 has 144 divisors (see below), whose sum is σ = 74075062464. Its totient is φ = 6998211840.

The previous prime is 26905359071. The next prime is 26905359233. The reversal of 26905359150 is 5195350962.

26905359150 is a `hidden beast` number, since 2 + 6 + 9 + 0 + 5 + 3 + 591 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26905359096 and 26905359105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6702544 + ... + 6706556.

It is an arithmetic number, because the mean of its divisors is an integer number (514410156).

Almost surely, 226905359150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26905359150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37037531232).

26905359150 is an abundant number, since it is smaller than the sum of its proper divisors (47169703314).

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

26905359150 is a wasteful number, since it uses less digits than its factorization.

26905359150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 26905359150 in words is "twenty-six billion, nine hundred five million, three hundred fifty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 47 50 75 90 94 141 150 225 235 282 317 423 450 470 634 705 846 951 1175 1410 1585 1902 2115 2350 2853 3170 3525 4013 4230 4755 5706 7050 7925 8026 9510 10575 12039 14265 14899 15850 20065 21150 23775 24078 28530 29798 36117 40130 44697 47550 60195 71325 72234 74495 89394 100325 120390 134091 142650 148990 180585 188611 200650 223485 268182 300975 361170 372475 377222 446970 565833 601950 670455 744950 902925 943055 1117425 1131666 1272121 1340910 1697499 1805850 1886110 2234850 2544242 2829165 3352275 3394998 3816363 4715275 5658330 6360605 6704550 7632726 8487495 9430550 11449089 12721210 14145825 16974990 19081815 22898178 28291650 31803025 38163630 42437475 57245445 59789687 63606050 84874950 95409075 114490890 119579374 179369061 190818150 286227225 298948435 358738122 538107183 572454450 597896870 896845305 1076214366 1494742175 1793690610 2690535915 2989484350 4484226525 5381071830 8968453050 13452679575 26905359150