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11036906440 = 2357314131013
BaseRepresentation
bin10100100011101100…
…11101001111001000
31001111011212221100121
422101312131033020
5140100422001230
65023103113024
7540335104540
oct122166351710
931434787317
1011036906440
11475405618a
1221802a2774
13106b77a091
14769b5a320
15448e2e77a
hex291d9d3c8

11036906440 has 128 divisors (see below), whose sum is σ = 30011627520. Its totient is φ = 3572582400.

The previous prime is 11036906423. The next prime is 11036906497. The reversal of 11036906440 is 4460963011.

11036906440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×110369064403 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11036906396 and 11036906405.

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, 340374 + ... + 371386.

It is an arithmetic number, because the mean of its divisors is an integer number (234465840).

Almost surely, 211036906440 is an apocalyptic number.

11036906440 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 11036906440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15005813760).

11036906440 is an abundant number, since it is smaller than the sum of its proper divisors (18974721080).

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

11036906440 is a wasteful number, since it uses less digits than its factorization.

11036906440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31103 (or 31099 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 11036906440 in words is "eleven billion, thirty-six million, nine hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 41 56 62 70 82 124 140 155 164 205 217 248 280 287 310 328 410 434 574 620 820 868 1085 1148 1240 1271 1435 1640 1736 2170 2296 2542 2870 4340 5084 5740 6355 8680 8897 10168 11480 12710 17794 25420 31013 35588 44485 50840 62026 71176 88970 124052 155065 177940 217091 248104 310130 355880 434182 620260 868364 961403 1085455 1240520 1271533 1736728 1922806 2170910 2543066 3845612 4341820 4807015 5086132 6357665 6729821 7691224 8683640 8900731 9614030 10172264 12715330 13459642 17801462 19228060 25430660 26919284 33649105 35602924 38456120 39417523 44503655 50861320 53838568 67298210 71205848 78835046 89007310 134596420 157670092 178014620 197087615 269192840 275922661 315340184 356029240 394175230 551845322 788350460 1103690644 1379613305 1576700920 2207381288 2759226610 5518453220 11036906440