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11198003040 = 2532571110913
BaseRepresentation
bin10100110110111001…
…11111011101100000
31001220102000111100100
422123130333131200
5140413142044130
65051100022400
7544332312120
oct123334773540
931812014310
1011198003040
114826a87474
122206231a00
131095c62a03
147832d2c80
15458151c60
hex29b73f760

11198003040 has 144 divisors (see below), whose sum is σ = 43672251168. Its totient is φ = 2559541248.

The previous prime is 11198003027. The next prime is 11198003041. The reversal of 11198003040 is 4030089111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 11198002995 and 11198003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11198003041) 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, 545377 + ... + 565536.

It is an arithmetic number, because the mean of its divisors is an integer number (303279522).

Almost surely, 211198003040 is an apocalyptic number.

11198003040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11198003040 is an abundant number, since it is smaller than the sum of its proper divisors (32474248128).

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

11198003040 is a wasteful number, since it uses less digits than its factorization.

11198003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110941 (or 1110930 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11198003040 in words is "eleven billion, one hundred ninety-eight million, three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 1110913 2221826 3332739 4443652 5554565 6665478 7776391 8887304 9998217 11109130 13330956 15552782 16663695 17774608 19996434 22218260 23329173 26661912 31105564 33327390 35549216 38881955 39992868 44436520 46658346 49991085 53323824 62211128 66654780 69987519 77763910 79985736 88873040 93316692 99982170 106647648 116645865 124422256 133309560 139975038 155527820 159971472 177746080 186633384 199964340 233291730 248844512 266619120 279950076 311055640 319942944 349937595 373266768 399928680 466583460 533238240 559900152 622111280 699875190 746533536 799857360 933166920 1119800304 1244222560 1399750380 1599714720 1866333840 2239600608 2799500760 3732667680 5599001520 11198003040