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11326410400 = 255237382649
BaseRepresentation
bin10101000110001101…
…10100111010100000
31002020100122021010111
422203012310322200
5141144030113100
65111524141104
7550451620444
oct124306647240
932210567114
1011326410400
114892510858
122241237794
1310b67415b6
1479639a824
154645686ba
hex2a31b4ea0

11326410400 has 72 divisors (see below), whose sum is σ = 28397987100. Its totient is φ = 4408104960.

The previous prime is 11326410379. The next prime is 11326410427. The reversal of 11326410400 is 401462311.

It can be written as a sum of positive squares in 6 ways, for example, as 6466089744 + 4860320656 = 80412^2 + 69716^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161725 + ... + 220924.

Almost surely, 211326410400 is an apocalyptic number.

11326410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11326410400 is an abundant number, since it is smaller than the sum of its proper divisors (17071576700).

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

11326410400 is a wasteful number, since it uses less digits than its factorization.

11326410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382706 (or 382693 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11326410400 its reverse (401462311), we get a palindrome (11727872711).

The spelling of 11326410400 in words is "eleven billion, three hundred twenty-six million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 296 370 400 592 740 800 925 1184 1480 1850 2960 3700 5920 7400 14800 29600 382649 765298 1530596 1913245 3061192 3826490 6122384 7652980 9566225 12244768 14158013 15305960 19132450 28316026 30611920 38264900 56632052 61223840 70790065 76529800 113264104 141580130 153059600 226528208 283160260 306119200 353950325 453056416 566320520 707900650 1132641040 1415801300 2265282080 2831602600 5663205200 11326410400