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26428226000 = 2453111201283
BaseRepresentation
bin11000100111001111…
…101011100111010000
32112012211100222120012
4120213033223213100
5413111111213000
620050240334052
71623626133401
oct304717534720
975184328505
1026428226000
11102320543a0
125156914328
1326523b8667
1413c9d259a8
15a4a290735
hex6273eb9d0

26428226000 has 80 divisors (see below), whose sum is σ = 69712913088. Its totient is φ = 9610256000.

The previous prime is 26428225961. The next prime is 26428226003. The reversal of 26428226000 is 62282462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×264282260002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26428226003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578642 + ... + 622641.

Almost surely, 226428226000 is an apocalyptic number.

26428226000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26428226000 is an abundant number, since it is smaller than the sum of its proper divisors (43284687088).

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

26428226000 is a wasteful number, since it uses less digits than its factorization.

26428226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201317 (or 1201301 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 26428226000 in words is "twenty-six billion, four hundred twenty-eight million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 1201283 2402566 4805132 6006415 9610264 12012830 13214113 19220528 24025660 26428226 30032075 48051320 52856452 60064150 66070565 96102640 105712904 120128300 132141130 150160375 211425808 240256600 264282260 300320750 330352825 480513200 528564520 600641500 660705650 1057129040 1201283000 1321411300 1651764125 2402566000 2642822600 3303528250 5285645200 6607056500 13214113000 26428226000