Search a number
-
+
11135543652 = 2232598958907
BaseRepresentation
bin10100101111011101…
…01110100101100100
31001202001111020011200
422113232232211210
5140301144344102
65040545202500
7542643362562
oct122756564544
931661436150
1011135543652
1147a47a6842
1221a9330430
1310860344ac
14778cb4a32
1545291551c
hex297bae964

11135543652 has 72 divisors (see below), whose sum is σ = 28947391200. Its totient is φ = 3607874688.

The previous prime is 11135543621. The next prime is 11135543669. The reversal of 11135543652 is 25634553111.

11135543652 is a `hidden beast` number, since 11 + 13 + 554 + 36 + 52 = 666.

It is a super-3 number, since 3×111355436523 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159583 + ... + 218489.

It is an arithmetic number, because the mean of its divisors is an integer number (402047100).

Almost surely, 211135543652 is an apocalyptic number.

11135543652 is a gapful number since it is divisible by the number (12) 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 11135543652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14473695600).

11135543652 is an abundant number, since it is smaller than the sum of its proper divisors (17811847548).

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

11135543652 is a wasteful number, since it uses less digits than its factorization.

11135543652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59065 (or 59060 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 11135543652 in words is "eleven billion, one hundred thirty-five million, five hundred forty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 89 118 177 178 236 267 354 356 531 534 708 801 1062 1068 1602 2124 3204 5251 10502 15753 21004 31506 47259 58907 63012 94518 117814 176721 189036 235628 353442 530163 706884 1060326 2120652 3475513 5242723 6951026 10426539 10485446 13902052 15728169 20853078 20970892 31279617 31456338 41706156 47184507 62559234 62912676 94369014 125118468 188738028 309320657 618641314 927961971 1237282628 1855923942 2783885913 3711847884 5567771826 11135543652