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12553043400 = 2332526973913
BaseRepresentation
bin10111011000011100…
…00011110111001000
31012101211202200021100
423230032003313020
5201202034342100
65433343141400
7623035052112
oct135416036710
935354680240
1012553043400
115361958337
122523ba4860
1312508cc341
148712603b2
154d70b5400
hex2ec383dc8

12553043400 has 72 divisors (see below), whose sum is σ = 42157310130. Its totient is φ = 3347477760.

The previous prime is 12553043383. The next prime is 12553043407. The reversal of 12553043400 is 434035521.

12553043400 is a `hidden beast` number, since 1 + 255 + 3 + 0 + 4 + 3 + 400 = 666.

12553043400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6231839364 + 6321204036 = 78942^2 + 79506^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12553043407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3485157 + ... + 3488756.

Almost surely, 212553043400 is an apocalyptic number.

12553043400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12553043400 is an abundant number, since it is smaller than the sum of its proper divisors (29604266730).

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

12553043400 is a wasteful number, since it uses less digits than its factorization.

12553043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973935 (or 6973923 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 12553043400 its reverse (434035521), we get a palindrome (12987078921).

The spelling of 12553043400 in words is "twelve billion, five hundred fifty-three million, forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6973913 13947826 20921739 27895652 34869565 41843478 55791304 62765217 69739130 83686956 104608695 125530434 139478260 167373912 174347825 209217390 251060868 278956520 313826085 348695650 418434780 502121736 523043475 627652170 697391300 836869560 1046086950 1255304340 1394782600 1569130425 2092173900 2510608680 3138260850 4184347800 6276521700 12553043400