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11238491400 = 23352163114913
BaseRepresentation
bin10100111011101110…
…11100010100001000
31002000020012111221020
422131313130110020
5141004023211100
65055103512440
7545333413023
oct123567342410
932006174836
1011238491400
114847920a24
1222178b8720
1310a146a916
147888321ba
1545b99d5a0
hex29dddc508

11238491400 has 96 divisors (see below), whose sum is σ = 35053366560. Its totient is φ = 2978519040.

The previous prime is 11238491399. The next prime is 11238491437. The reversal of 11238491400 is 419483211.

It is a happy number.

11238491400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40344 + ... + 155256.

It is an arithmetic number, because the mean of its divisors is an integer number (365139235).

Almost surely, 211238491400 is an apocalyptic number.

11238491400 is a gapful number since it is divisible by the number (10) 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 11238491400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17526683280).

11238491400 is an abundant number, since it is smaller than the sum of its proper divisors (23814875160).

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

11238491400 is a wasteful number, since it uses less digits than its factorization.

11238491400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115095 (or 115086 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 11238491400 in words is "eleven billion, two hundred thirty-eight million, four hundred ninety-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 163 200 300 326 489 600 652 815 978 1304 1630 1956 2445 3260 3912 4075 4890 6520 8150 9780 12225 16300 19560 24450 32600 48900 97800 114913 229826 344739 459652 574565 689478 919304 1149130 1378956 1723695 2298260 2757912 2872825 3447390 4596520 5745650 6894780 8618475 11491300 13789560 17236950 18730819 22982600 34473900 37461638 56192457 68947800 74923276 93654095 112384914 149846552 187308190 224769828 280962285 374616380 449539656 468270475 561924570 749232760 936540950 1123849140 1404811425 1873081900 2247698280 2809622850 3746163800 5619245700 11238491400