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13290318400 = 26528306449
BaseRepresentation
bin11000110000010101…
…00010101001000000
31021022020002010102211
430120022202221000
5204204310142100
610034441351504
7650226561652
oct143012425100
937266063384
1013290318400
115700046a17
1226aaa98594
13133a58cb38
1490113c6d2
1552bb9c1ba
hex3182a2a40

13290318400 has 42 divisors (see below), whose sum is σ = 32702493650. Its totient is φ = 5316126720.

The previous prime is 13290318397. The next prime is 13290318407. The reversal of 13290318400 is 481309231.

It can be written as a sum of positive squares in 3 ways, for example, as 2585519104 + 10704799296 = 50848^2 + 103464^2 .

It is not an unprimeable number, because it can be changed into a prime (13290318407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4151625 + ... + 4154824.

Almost surely, 213290318400 is an apocalyptic number.

13290318400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13290318400 is an abundant number, since it is smaller than the sum of its proper divisors (19412175250).

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

13290318400 is an equidigital number, since it uses as much as digits as its factorization.

13290318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306471 (or 8306456 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 13290318400 in words is "thirteen billion, two hundred ninety million, three hundred eighteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 8306449 16612898 33225796 41532245 66451592 83064490 132903184 166128980 207661225 265806368 332257960 415322450 531612736 664515920 830644900 1329031840 1661289800 2658063680 3322579600 6645159200 13290318400