Search a number
-
+
26436016980 = 2234521177339
BaseRepresentation
bin11000100111101101…
…011001101101010100
32112020101000210210000
4120213231121231110
5413120110020410
620051115331300
71624052302542
oct304755315524
975211023700
1026436016980
111023649591a
125159450b30
132653bb58c9
1413cad92d92
15a4accddc0
hex627b59b54

26436016980 has 120 divisors (see below), whose sum is σ = 83324878560. Its totient is φ = 7016103360.

The previous prime is 26436016973. The next prime is 26436016993. The reversal of 26436016980 is 8961063462.

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

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 39 ways as a sum of consecutive naturals, for example, 303151 + ... + 380489.

It is an arithmetic number, because the mean of its divisors is an integer number (694373988).

Almost surely, 226436016980 is an apocalyptic number.

26436016980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26436016980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41662439280).

26436016980 is an abundant number, since it is smaller than the sum of its proper divisors (56888861580).

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

26436016980 is a wasteful number, since it uses less digits than its factorization.

26436016980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77571 (or 77560 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 26436016980 in words is "twenty-six billion, four hundred thirty-six million, sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 211 270 324 405 422 540 633 810 844 1055 1266 1620 1899 2110 2532 3165 3798 4220 5697 6330 7596 9495 11394 12660 17091 18990 22788 28485 34182 37980 56970 68364 77339 85455 113940 154678 170910 232017 309356 341820 386695 464034 696051 773390 928068 1160085 1392102 1546780 2088153 2320170 2784204 3480255 4176306 4640340 6264459 6960510 8352612 10440765 12528918 13921020 16318529 20881530 25057836 31322295 32637058 41763060 48955587 62644590 65274116 81592645 97911174 125289180 146866761 163185290 195822348 244777935 293733522 326370580 440600283 489555870 587467044 734333805 881200566 979111740 1321800849 1468667610 1762401132 2203001415 2643601698 2937335220 4406002830 5287203396 6609004245 8812005660 13218008490 26436016980