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26809798920 = 23353726922447
BaseRepresentation
bin11000111101111111…
…010001000100001000
32120012102100220012120
4120331333101010020
5414401302031140
620152151011240
71636241350032
oct307577210410
976172326176
1026809798920
1110408483813
125242669b20
1326b3477758
141424890c52
15a6da141d0
hex63dfd1108

26809798920 has 128 divisors (see below), whose sum is σ = 82913932800. Its totient is φ = 6929888256.

The previous prime is 26809798909. The next prime is 26809798943. The reversal of 26809798920 is 2989790862.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 1183137 + ... + 1205583.

It is an arithmetic number, because the mean of its divisors is an integer number (647765100).

Almost surely, 226809798920 is an apocalyptic number.

26809798920 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 26809798920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456966400).

26809798920 is an abundant number, since it is smaller than the sum of its proper divisors (56104133880).

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

26809798920 is a wasteful number, since it uses less digits than its factorization.

26809798920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22767 (or 22763 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 26809798920 in words is "twenty-six billion, eight hundred nine million, seven hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 269 296 370 444 538 555 740 807 888 1076 1110 1345 1480 1614 2152 2220 2690 3228 4035 4440 5380 6456 8070 9953 10760 16140 19906 22447 29859 32280 39812 44894 49765 59718 67341 79624 89788 99530 112235 119436 134682 149295 179576 199060 224470 238872 269364 298590 336705 398120 448940 538728 597180 673410 830539 897880 1194360 1346820 1661078 2491617 2693640 3322156 4152695 4983234 6038243 6644312 8305390 9966468 12076486 12458085 16610780 18114729 19932936 24152972 24916170 30191215 33221560 36229458 48305944 49832340 60382430 72458916 90573645 99664680 120764860 144917832 181147290 223414991 241529720 362294580 446829982 670244973 724589160 893659964 1117074955 1340489946 1787319928 2234149910 2680979892 3351224865 4468299820 5361959784 6702449730 8936599640 13404899460 26809798920