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11524300424 = 2371322969127
BaseRepresentation
bin10101011101110011…
…01101111010001000
31002202011000010012122
422232321231322020
5142100210103144
65143313430412
7555403636340
oct125671557210
932664003178
1011524300424
11498419252a
12229756b408
13111873a3a0
147b478dd20
15476b077ee
hex2aee6de88

11524300424 has 64 divisors (see below), whose sum is σ = 26711059200. Its totient is φ = 4539089664.

The previous prime is 11524300387. The next prime is 11524300427. The reversal of 11524300424 is 42400342511.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 11524300393 and 11524300402.

It is not an unprimeable number, because it can be changed into a prime (11524300427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 132149 + ... + 201275.

It is an arithmetic number, because the mean of its divisors is an integer number (417360300).

Almost surely, 211524300424 is an apocalyptic number.

11524300424 is a gapful number since it is divisible by the number (14) 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 11524300424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355529600).

11524300424 is an abundant number, since it is smaller than the sum of its proper divisors (15186758776).

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

11524300424 is a wasteful number, since it uses less digits than its factorization.

11524300424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69382 (or 69378 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 11524300424 its reverse (42400342511), we get a palindrome (53924642935).

The spelling of 11524300424 in words is "eleven billion, five hundred twenty-four million, three hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 229 364 458 728 916 1603 1832 2977 3206 5954 6412 11908 12824 20839 23816 41678 69127 83356 138254 166712 276508 483889 553016 898651 967778 1797302 1935556 3594604 3871112 6290557 7189208 12581114 15830083 25162228 31660166 50324456 63320332 110810581 126640664 205791079 221621162 411582158 443242324 823164316 886484648 1440537553 1646328632 2881075106 5762150212 11524300424