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11116336440 = 23351117348679
BaseRepresentation
bin10100101101001010…
…11101010100111000
31001200201100101211110
422112211131110320
5140231240231230
65035021400320
7542321205066
oct122645352470
931621311743
1011116336440
114794978110
1221a2a090a0
13108206ab91
14776515036
15450dbe4b0
hex29695d538

11116336440 has 128 divisors (see below), whose sum is σ = 36591782400. Its totient is φ = 2679237120.

The previous prime is 11116336421. The next prime is 11116336453. The reversal of 11116336440 is 4463361111.

11116336440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11116336398 and 11116336407.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 204021 + ... + 252699.

It is an arithmetic number, because the mean of its divisors is an integer number (285873300).

Almost surely, 211116336440 is an apocalyptic number.

11116336440 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 11116336440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295891200).

11116336440 is an abundant number, since it is smaller than the sum of its proper divisors (25475445960).

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

11116336440 is a wasteful number, since it uses less digits than its factorization.

11116336440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48877 (or 48873 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 11116336440 its reverse (4463361111), we get a palindrome (15579697551).

The spelling of 11116336440 in words is "eleven billion, one hundred sixteen million, three hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 173 220 264 330 346 440 519 660 692 865 1038 1320 1384 1730 1903 2076 2595 3460 3806 4152 5190 5709 6920 7612 9515 10380 11418 15224 19030 20760 22836 28545 38060 45672 48679 57090 76120 97358 114180 146037 194716 228360 243395 292074 389432 486790 535469 584148 730185 973580 1070938 1168296 1460370 1606407 1947160 2141876 2677345 2920740 3212814 4283752 5354690 5841480 6425628 8032035 8421467 10709380 12851256 16064070 16842934 21418760 25264401 32128140 33685868 42107335 50528802 64256280 67371736 84214670 92636137 101057604 126322005 168429340 185272274 202115208 252644010 277908411 336858680 370544548 463180685 505288020 555816822 741089096 926361370 1010576040 1111633644 1389542055 1852722740 2223267288 2779084110 3705445480 5558168220 11116336440