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26381720340 = 22325436750873
BaseRepresentation
bin11000100100011110…
…010001101100010100
32112002120212020210100
4120210132101230110
5413012210022330
620041455454100
71622522631363
oct304436215424
975076766710
1026381720340
111020887aa68
125143227330
132645884911
1413c3a9b7da
15a46156060
hex624791b14

26381720340 has 144 divisors (see below), whose sum is σ = 83109394368. Its totient is φ = 6768824832.

The previous prime is 26381720303. The next prime is 26381720401. The reversal of 26381720340 is 4302718362.

It is a happy number.

26381720340 is a `hidden beast` number, since 2 + 638 + 17 + 2 + 0 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26381720295 and 26381720304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493144 + ... + 544016.

It is an arithmetic number, because the mean of its divisors is an integer number (577148572).

Almost surely, 226381720340 is an apocalyptic number.

26381720340 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 26381720340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41554697184).

26381720340 is an abundant number, since it is smaller than the sum of its proper divisors (56727674028).

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

26381720340 is a wasteful number, since it uses less digits than its factorization.

26381720340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50998 (or 50993 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26381720340 in words is "twenty-six billion, three hundred eighty-one million, seven hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 67 86 90 129 134 172 180 201 215 258 268 335 387 402 430 516 603 645 670 774 804 860 1005 1206 1290 1340 1548 1935 2010 2412 2580 2881 3015 3870 4020 5762 6030 7740 8643 11524 12060 14405 17286 25929 28810 34572 43215 50873 51858 57620 86430 101746 103716 129645 152619 172860 203492 254365 259290 305238 457857 508730 518580 610476 763095 915714 1017460 1526190 1831428 2187539 2289285 3052380 3408491 4375078 4578570 6562617 6816982 8750156 9157140 10225473 10937695 13125234 13633964 17042455 19687851 20450946 21875390 26250468 30676419 32813085 34084910 39375702 40901892 43750780 51127365 61352838 65626170 68169820 78751404 98439255 102254730 122705676 131252340 146565113 153382095 196878510 204509460 293130226 306764190 393757020 439695339 586260452 613528380 732825565 879390678 1319086017 1465651130 1758781356 2198476695 2638172034 2931302260 4396953390 5276344068 6595430085 8793906780 13190860170 26381720340