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13424400115532 = 22743591033318289
BaseRepresentation
bin1100001101011001110010…
…0110011010011101001100
31202112100201112012012021222
43003112130212122131030
53224421132412144112
644315030111542512
72553611102145440
oct303263446323514
952470645165258
1013424400115532
11430628a98a02a
1216098a452aa38
13764bb9474b33
14345a5ca18820
151842ed259372
hexc359c99a74c

13424400115532 has 96 divisors (see below), whose sum is σ = 27943069862400. Its totient is φ = 5523433638912.

The previous prime is 13424400115523. The next prime is 13424400115627. The reversal of 13424400115532 is 23551100442431.

13424400115532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13424400115492 and 13424400115501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734005844 + ... + 734024132.

It is an arithmetic number, because the mean of its divisors is an integer number (291073644400).

Almost surely, 213424400115532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13424400115532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971534931200).

13424400115532 is an abundant number, since it is smaller than the sum of its proper divisors (14518669746868).

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

13424400115532 is a wasteful number, since it uses less digits than its factorization.

13424400115532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28735 (or 28733 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 13424400115532 its reverse (23551100442431), we get a palindrome (36975500557963).

The spelling of 13424400115532 in words is "thirteen trillion, four hundred twenty-four billion, four hundred million, one hundred fifteen thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 59 86 118 172 236 301 413 602 826 1204 1652 2537 5074 10148 10333 17759 18289 20666 35518 36578 41332 71036 72331 73156 128023 144662 256046 289324 444319 512092 609647 786427 888638 1079051 1219294 1572854 1777276 2158102 2438588 3110233 3145708 4267529 4316204 5504989 6220466 7553357 8535058 11009978 12440932 15106714 17070116 22019956 26214821 30213428 46399193 52429642 92798386 104859284 183503747 185596772 188980237 324794351 367007494 377960474 649588702 734014988 755920948 1299177404 1322861659 2645723318 5291446636 8126150191 11149833983 16252300382 22299667966 32504600764 44599335932 56883051337 78048837881 113766102674 156097675762 227532205348 312195351524 479442861269 958885722538 1917771445076 3356100028883 6712200057766 13424400115532