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26041666140 = 22325735957571
BaseRepresentation
bin11000010000001101…
…000100101001011100
32111012212222201010100
4120100031010221130
5411313131304030
615544031141100
71611223336620
oct302015045134
974185881110
1026041666140
1110053929236
125069374790
1325c02a1709
14139085d180
15a26384360
hex610344a5c

26041666140 has 144 divisors (see below), whose sum is σ = 90530818560. Its totient is φ = 5935697280.

The previous prime is 26041666127. The next prime is 26041666151. The reversal of 26041666140 is 4166614062.

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 = 26041666095 and 26041666104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423555 + ... + 481125.

It is an arithmetic number, because the mean of its divisors is an integer number (628686240).

Almost surely, 226041666140 is an apocalyptic number.

26041666140 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 26041666140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45265409280).

26041666140 is an abundant number, since it is smaller than the sum of its proper divisors (64489152420).

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

26041666140 is a wasteful number, since it uses less digits than its factorization.

26041666140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57952 (or 57947 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26041666140 in words is "twenty-six billion, forty-one million, six hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 359 420 630 718 1077 1260 1436 1795 2154 2513 3231 3590 4308 5026 5385 6462 7180 7539 10052 10770 12565 12924 15078 16155 21540 22617 25130 30156 32310 37695 45234 50260 57571 64620 75390 90468 113085 115142 150780 172713 226170 230284 287855 345426 402997 452340 518139 575710 690852 805994 863565 1036278 1151420 1208991 1611988 1727130 2014985 2072556 2417982 2590695 3454260 3626973 4029970 4835964 5181390 6044955 7253946 8059940 10362780 12089910 14507892 18134865 20667989 24179820 36269730 41335978 62003967 72539460 82671956 103339945 124007934 144675923 186011901 206679890 248015868 289351846 310019835 372023802 413359780 434027769 578703692 620039670 723379615 744047604 868055538 930059505 1240079340 1302083307 1446759230 1736111076 1860119010 2170138845 2604166614 2893518460 3720238020 4340277690 5208333228 6510416535 8680555380 13020833070 26041666140