Search a number
-
+
11129153652 = 2233413597001
BaseRepresentation
bin10100101110101100…
…10110100001110100
31001201121110120202000
422113112112201310
5140243030404102
65040200215300
7542535150051
oct122726264164
931647416660
1011129153652
1147a1131951
1221a716a530
131084907b26
147780d0028
154520a201c
hex297596874

11129153652 has 96 divisors (see below), whose sum is σ = 29643667200. Its totient is φ = 3608640000.

The previous prime is 11129153647. The next prime is 11129153663. The reversal of 11129153652 is 25635192111.

It is a happy number.

11129153652 is a `hidden beast` number, since 1 + 1 + 1 + 291 + 5 + 365 + 2 = 666.

11129153652 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-2 number, since 2×111291536522 (a number of 21 digits) contains 22 as substring.

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

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, 1586152 + ... + 1593152.

It is an arithmetic number, because the mean of its divisors is an integer number (308788200).

Almost surely, 211129153652 is an apocalyptic number.

11129153652 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 11129153652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821833600).

11129153652 is an abundant number, since it is smaller than the sum of its proper divisors (18514513548).

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

11129153652 is a wasteful number, since it uses less digits than its factorization.

11129153652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7406 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The spelling of 11129153652 in words is "eleven billion, one hundred twenty-nine million, one hundred fifty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 359 369 492 718 738 1077 1107 1436 1476 2154 2214 3231 4308 4428 6462 7001 9693 12924 14002 14719 19386 21003 28004 29438 38772 42006 44157 58876 63009 84012 88314 126018 132471 176628 189027 252036 264942 287041 378054 397413 529884 574082 756108 794826 861123 1148164 1589652 1722246 2513359 2583369 3444492 5026718 5166738 7540077 7750107 10053436 10333476 15080154 15500214 22620231 30160308 31000428 45240462 67860693 90480924 103047719 135721386 206095438 271442772 309143157 412190876 618286314 927429471 1236572628 1854858942 2782288413 3709717884 5564576826 11129153652