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11400189450 = 2352135999089
BaseRepresentation
bin10101001111000000…
…10001011000001010
31002102111110121221220
422213200101120022
5141321422030300
65123121342510
7552336003636
oct124740213012
932374417856
1011400189450
114920123081
122261a97a36
1310c8b04240
147a20c3dc6
1546ac8dda0
hex2a781160a

11400189450 has 96 divisors (see below), whose sum is σ = 30963643200. Its totient is φ = 2758609920.

The previous prime is 11400189421. The next prime is 11400189461. The reversal of 11400189450 is 5498100411.

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 47 ways as a sum of consecutive naturals, for example, 65506 + ... + 164594.

It is an arithmetic number, because the mean of its divisors is an integer number (322537950).

Almost surely, 211400189450 is an apocalyptic number.

11400189450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400189450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15481821600).

11400189450 is an abundant number, since it is smaller than the sum of its proper divisors (19563453750).

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

11400189450 is a wasteful number, since it uses less digits than its factorization.

11400189450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99176 (or 99171 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

Adding to 11400189450 its reverse (5498100411), we get a palindrome (16898289861).

The spelling of 11400189450 in words is "eleven billion, four hundred million, one hundred eighty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 59 65 75 78 118 130 150 177 195 295 325 354 390 590 650 767 885 975 1475 1534 1770 1950 2301 2950 3835 4425 4602 7670 8850 11505 19175 23010 38350 57525 99089 115050 198178 297267 495445 594534 990890 1288157 1486335 2477225 2576314 2972670 3864471 4954450 5846251 6440785 7431675 7728942 11692502 12881570 14863350 17538753 19322355 29231255 32203925 35077506 38644710 58462510 64407850 76001263 87693765 96611775 146156275 152002526 175387530 193223550 228003789 292312550 380006315 438468825 456007578 760012630 876937650 1140018945 1900031575 2280037890 3800063150 5700094725 11400189450