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13521311040 = 263514084699
BaseRepresentation
bin11001001011110111…
…01101010101000000
31021220022201202202210
430211323231111000
5210142423423130
610113412342120
7656033150616
oct144573552500
937808652683
1013521311040
115809478126
122754314940
1313763a8b83
14923aab6b6
155420c95b0
hex325eed540

13521311040 has 56 divisors (see below), whose sum is σ = 42930165600. Its totient is φ = 3605682688.

The previous prime is 13521311033. The next prime is 13521311053. The reversal of 13521311040 is 4011312531.

13521311040 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 = 13521310998 and 13521311016.

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 7 ways as a sum of consecutive naturals, for example, 7041390 + ... + 7043309.

It is an arithmetic number, because the mean of its divisors is an integer number (766610100).

Almost surely, 213521311040 is an apocalyptic number.

13521311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13521311040 is an abundant number, since it is smaller than the sum of its proper divisors (29408854560).

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

13521311040 is a wasteful number, since it uses less digits than its factorization.

13521311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14084719 (or 14084709 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 13521311040 its reverse (4011312531), we get a palindrome (17532623571).

The spelling of 13521311040 in words is "thirteen billion, five hundred twenty-one million, three hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 14084699 28169398 42254097 56338796 70423495 84508194 112677592 140846990 169016388 211270485 225355184 281693980 338032776 422540970 450710368 563387960 676065552 845081940 901420736 1126775920 1352131104 1690163880 2253551840 2704262208 3380327760 4507103680 6760655520 13521311040