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11004421400 = 2352719939499
BaseRepresentation
bin10100011111110101…
…00010010100011000
31001101220202112020222
422033322202110120
5140014112441100
65015542535212
7536462016140
oct121772422430
931356675228
1011004421400
114737788745
122171437508
131064b14c6b
14765701920
15446164485
hex28fea2518

11004421400 has 96 divisors (see below), whose sum is σ = 29388000000. Its totient is φ = 3753889920.

The previous prime is 11004421399. The next prime is 11004421409. The reversal of 11004421400 is 412440011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004421409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258851 + ... + 298349.

It is an arithmetic number, because the mean of its divisors is an integer number (306125000).

Almost surely, 211004421400 is an apocalyptic number.

11004421400 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 11004421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694000000).

11004421400 is an abundant number, since it is smaller than the sum of its proper divisors (18383578600).

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

11004421400 is a wasteful number, since it uses less digits than its factorization.

11004421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39721 (or 39712 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11004421400 its reverse (412440011), we get a palindrome (11416861411).

The spelling of 11004421400 in words is "eleven billion, four million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 199 200 280 350 398 700 796 995 1393 1400 1592 1990 2786 3980 4975 5572 6965 7960 9950 11144 13930 19900 27860 34825 39499 39800 55720 69650 78998 139300 157996 197495 276493 278600 315992 394990 552986 789980 987475 1105972 1382465 1579960 1974950 2211944 2764930 3949900 5529860 6912325 7860301 7899800 11059720 13824650 15720602 27649300 31441204 39301505 55022107 55298600 62882408 78603010 110044214 157206020 196507525 220088428 275110535 314412040 393015050 440176856 550221070 786030100 1100442140 1375552675 1572060200 2200884280 2751105350 5502210700 11004421400