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13400245332 = 22324152317359
BaseRepresentation
bin11000111101011011…
…11000010001010100
31021120212220222211200
430132231320101110
5204420430322312
610053405432500
7653033130435
oct143655702124
937525828750
1013400245332
1157570a8721
12271b86b730
13135729ab66
1491199548c
155366630dc
hex31eb78454

13400245332 has 72 divisors (see below), whose sum is σ = 34767358080. Its totient is φ = 4349220480.

The previous prime is 13400245283. The next prime is 13400245343. The reversal of 13400245332 is 23354200431.

13400245332 is a `hidden beast` number, since 13 + 400 + 245 + 3 + 3 + 2 = 666.

13400245332 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 = 13400245296 and 13400245305.

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 23 ways as a sum of consecutive naturals, for example, 763269 + ... + 780627.

Almost surely, 213400245332 is an apocalyptic number.

13400245332 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 13400245332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17383679040).

13400245332 is an abundant number, since it is smaller than the sum of its proper divisors (21367112748).

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

13400245332 is a wasteful number, since it uses less digits than its factorization.

13400245332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17933 (or 17928 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13400245332 its reverse (23354200431), we get a palindrome (36754445763).

The spelling of 13400245332 in words is "thirteen billion, four hundred million, two hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 523 738 1046 1476 1569 2092 3138 4707 6276 9414 17359 18828 21443 34718 42886 52077 64329 69436 85772 104154 128658 156231 192987 208308 257316 312462 385974 624924 711719 771948 1423438 2135157 2846876 4270314 6405471 8540628 9078757 12810942 18157514 25621884 27236271 36315028 54472542 81708813 108945084 163417626 326835252 372229037 744458074 1116687111 1488916148 2233374222 3350061333 4466748444 6700122666 13400245332