Search a number
-
+
26379819480 = 23357213114737
BaseRepresentation
bin11000100100010111…
…000001100111011000
32112002110021200022010
4120210113001213120
5413011213210410
620041351025520
71622500523460
oct304427014730
975073250263
1026379819480
11102077a1903
12514266b2a0
13264536a651
1413c3724ba0
15a45dccc20
hex6245c19d8

26379819480 has 128 divisors (see below), whose sum is σ = 90493678080. Its totient is φ = 6026434560.

The previous prime is 26379819457. The next prime is 26379819491. The reversal of 26379819480 is 8491897362.

It is a self number, because there is not a number n which added to its sum of digits gives 26379819480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1782672 + ... + 1797408.

It is an arithmetic number, because the mean of its divisors is an integer number (706981860).

Almost surely, 226379819480 is an apocalyptic number.

26379819480 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 26379819480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45246839040).

26379819480 is an abundant number, since it is smaller than the sum of its proper divisors (64113858600).

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

26379819480 is a wasteful number, since it uses less digits than its factorization.

26379819480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16889 (or 16885 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 26379819480 in words is "twenty-six billion, three hundred seventy-nine million, eight hundred nineteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2131 4262 6393 8524 10655 12786 14737 14917 17048 21310 25572 29474 29834 31965 42620 44211 44751 51144 58948 59668 63930 73685 74585 85240 88422 89502 103159 117896 119336 127860 147370 149170 176844 179004 206318 221055 223755 255720 294740 298340 309477 353688 358008 412636 442110 447510 515795 589480 596680 618954 825272 884220 895020 1031590 1237908 1547385 1768440 1790040 2063180 2475816 3094770 4126360 6189540 12379080 31404547 62809094 94213641 125618188 157022735 188427282 219831829 251236376 314045470 376854564 439663658 471068205 628090940 659495487 753709128 879327316 942136410 1099159145 1256181880 1318990974 1758654632 1884272820 2198318290 2637981948 3297477435 3768545640 4396636580 5275963896 6594954870 8793273160 13189909740 26379819480