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11050553500 = 2253723671229
BaseRepresentation
bin10100100101010101…
…00001000010011100
31001112010120021121021
422102222201002130
5140112420203000
65024311413524
7540562104100
oct122252410234
931463507537
1011050553500
114760827448
1221849842a4
13107154796c
1476b8ad900
1544a22811a
hex292aa109c

11050553500 has 144 divisors (see below), whose sum is σ = 28174124160. Its totient is φ = 3775363200.

The previous prime is 11050553497. The next prime is 11050553509. The reversal of 11050553500 is 535505011.

It is a super-2 number, since 2×110505535002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11050553509) by changing a digit.

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, 8990886 + ... + 8992114.

It is an arithmetic number, because the mean of its divisors is an integer number (195653640).

Almost surely, 211050553500 is an apocalyptic number.

11050553500 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 11050553500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087062080).

11050553500 is an abundant number, since it is smaller than the sum of its proper divisors (17123570660).

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

11050553500 is a wasteful number, since it uses less digits than its factorization.

11050553500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 25.

The spelling of 11050553500 in words is "eleven billion, fifty million, five hundred fifty-three thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 367 490 500 700 734 875 980 1225 1229 1468 1750 1835 2450 2458 2569 3500 3670 4900 4916 5138 6125 6145 7340 8603 9175 10276 12250 12290 12845 17206 17983 18350 24500 24580 25690 30725 34412 35966 36700 43015 45875 51380 60221 61450 64225 71932 86030 89915 91750 120442 122900 128450 153625 172060 179830 183500 215075 240884 256900 301105 307250 321125 359660 430150 449575 451043 602210 614500 642250 860300 899150 902086 1075375 1204420 1284500 1505525 1798300 1804172 2150750 2247875 2255215 3011050 3157301 4301500 4495750 4510430 6022100 6314602 7527625 8991500 9020860 11276075 12629204 15055250 15786505 22101107 22552150 30110500 31573010 44202214 45104300 56380375 63146020 78932525 88404428 110505535 112760750 157865050 221011070 225521500 315730100 394662625 442022140 552527675 789325250 1105055350 1578650500 2210110700 2762638375 5525276750 11050553500