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26006444040 = 23351721125927
BaseRepresentation
bin11000001110000110…
…101101100000001000
32111010102201020111010
4120032012231200020
5411230122202130
615540332203520
71610315061363
oct301606554010
974112636433
1026006444040
1110035a61365
1250596095a0
1325b5bbb835
141389cd10da
15a232280b0
hex60e1ad808

26006444040 has 64 divisors (see below), whose sum is σ = 78065285760. Its totient is φ = 6930967040.

The previous prime is 26006444029. The next prime is 26006444071. The reversal of 26006444040 is 4044460062.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26006443989 and 26006444007.

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 15 ways as a sum of consecutive naturals, for example, 143557 + ... + 269483.

It is an arithmetic number, because the mean of its divisors is an integer number (1219770090).

Almost surely, 226006444040 is an apocalyptic number.

26006444040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26006444040 is an abundant number, since it is smaller than the sum of its proper divisors (52058841720).

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

26006444040 is a wasteful number, since it uses less digits than its factorization.

26006444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127662 (or 127658 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 26006444040 in words is "twenty-six billion, six million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1721 3442 5163 6884 8605 10326 13768 17210 20652 25815 34420 41304 51630 68840 103260 125927 206520 251854 377781 503708 629635 755562 1007416 1259270 1511124 1888905 2518540 3022248 3777810 5037080 7555620 15111240 216720367 433440734 650161101 866881468 1083601835 1300322202 1733762936 2167203670 2600644404 3250805505 4334407340 5201288808 6501611010 8668814680 13003222020 26006444040