Search a number
-
+
26002268200 = 23522310155967
BaseRepresentation
bin11000001101110110…
…110010000000101000
32111010010212002022101
4120031312302000220
5411223040040300
615540102503144
71610234430046
oct301566620050
974103762271
1026002268200
1110033669a57
125058134ab4
1325b5088c1c
141389525396
15a22ba0b6a
hex60ddb2028

26002268200 has 96 divisors (see below), whose sum is σ = 63709493760. Its totient is φ = 9850016000.

The previous prime is 26002268197. The next prime is 26002268221. The reversal of 26002268200 is 286220062.

It is a super-2 number, since 2×260022682002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436617 + ... + 492583.

It is an arithmetic number, because the mean of its divisors is an integer number (663640560).

Almost surely, 226002268200 is an apocalyptic number.

26002268200 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 26002268200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31854746880).

26002268200 is an abundant number, since it is smaller than the sum of its proper divisors (37707225560).

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

26002268200 is a wasteful number, since it uses less digits than its factorization.

26002268200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56107 (or 56098 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 26002268200 its reverse (286220062), we get a palindrome (26288488262).

The spelling of 26002268200 in words is "twenty-six billion, two million, two hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 101 115 184 200 202 230 404 460 505 575 808 920 1010 1150 2020 2300 2323 2525 4040 4600 4646 5050 9292 10100 11615 18584 20200 23230 46460 55967 58075 92920 111934 116150 223868 232300 279835 447736 464600 559670 1119340 1287241 1399175 2238680 2574482 2798350 5148964 5596700 5652667 6436205 10297928 11193400 11305334 12872410 22610668 25744820 28263335 32181025 45221336 51489640 56526670 64362050 113053340 128724100 130011341 141316675 226106680 257448200 260022682 282633350 520045364 565266700 650056705 1040090728 1130533400 1300113410 2600226820 3250283525 5200453640 6500567050 13001134100 26002268200