Search a number
-
+
11535909900 = 22352234873433
BaseRepresentation
bin10101011111001100…
…00000010000001100
31002202221211221102020
422233212000100030
5142111143104100
65144410330140
7555604421244
oct125746002014
932687757366
1011535909900
11498a7a1939
12229b429950
13111ac736b8
147b6132b24
15477b4c5a0
hex2af98040c

11535909900 has 144 divisors (see below), whose sum is σ = 34910098944. Its totient is φ = 2935595520.

The previous prime is 11535909871. The next prime is 11535909901. The reversal of 11535909900 is 990953511.

It is not an unprimeable number, because it can be changed into a prime (11535909901) 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, 3358584 + ... + 3362016.

Almost surely, 211535909900 is an apocalyptic number.

11535909900 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 11535909900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17455049472).

11535909900 is an abundant number, since it is smaller than the sum of its proper divisors (23374189044).

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

11535909900 is a wasteful number, since it uses less digits than its factorization.

11535909900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 54675, while the sum is 42.

The spelling of 11535909900 in words is "eleven billion, five hundred thirty-five million, nine hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 487 575 690 974 1150 1380 1461 1725 1948 2300 2435 2922 3433 3450 4870 5844 6866 6900 7305 9740 10299 11201 12175 13732 14610 17165 20598 22402 24350 29220 33603 34330 36525 41196 44804 48700 51495 56005 67206 68660 73050 78959 85825 102990 112010 134412 146100 157918 168015 171650 205980 224020 236877 257475 280025 315836 336030 343300 394795 473754 514950 560050 672060 789590 840075 947508 1029900 1120100 1184385 1579180 1671871 1680150 1973975 2368770 3343742 3360300 3947950 4737540 5015613 5921925 6687484 7895900 8359355 10031226 11843850 16718710 20062452 23687700 25078065 33437420 38453033 41796775 50156130 76906066 83593550 100312260 115359099 125390325 153812132 167187100 192265165 230718198 250780650 384530330 461436396 501561300 576795495 769060660 961325825 1153590990 1922651650 2307181980 2883977475 3845303300 5767954950 11535909900