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13408250436 = 2234729192
BaseRepresentation
bin11000111110011000…
…11010101001000100
31021121102222200210000
430133030122221010
5204430003003221
610054253201300
7653161151100
oct143714325104
937542880700
1013408250436
115760676009
122722490230
131358b416c9
14912a7a900
155371e4e26
hex31f31aa44

13408250436 has 135 divisors (see below), whose sum is σ = 40818977199. Its totient is φ = 3826760112.

The previous prime is 13408250347. The next prime is 13408250437. The reversal of 13408250436 is 63405280431.

The square root of 13408250436 is 115794.

It is a perfect power (a square), and thus also a powerful number.

13408250436 is a `hidden beast` number, since 1 + 3 + 40 + 82 + 504 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13408250436.

It is not an unprimeable number, because it can be changed into a prime (13408250437) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14589585 + ... + 14590503.

Almost surely, 213408250436 is an apocalyptic number.

13408250436 is the 115794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13408250436

13408250436 is an abundant number, since it is smaller than the sum of its proper divisors (27410726763).

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

13408250436 is an frugal number, since it uses more digits than its factorization.

13408250436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 13408250436 by its sum of digits (36), we get a square (482697015696 = 6947642).

13408250436 divided by its sum of digits (36) gives a square (372451401 = 192992).

The spelling of 13408250436 in words is "thirteen billion, four hundred eight million, two hundred fifty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 919 1134 1323 1764 1838 2268 2646 2757 3676 3969 5292 5514 6433 7938 8271 11028 12866 15876 16542 19299 24813 25732 33084 38598 45031 49626 57897 74439 77196 90062 99252 115794 135093 148878 173691 180124 231588 270186 297756 347382 405279 521073 540372 694764 810558 844561 1042146 1215837 1621116 1689122 2084292 2431674 2533683 3378244 3647511 4863348 5067366 5911927 7295022 7601049 10134732 11823854 14590044 15202098 17735781 22803147 23647708 30404196 35471562 41383489 45606294 53207343 68409441 70943124 82766978 91212588 106414686 124150467 136818882 159622029 165533956 212829372 248300934 273637764 319244058 372451401 478866087 496601868 638488116 744902802 957732174 1117354203 1489805604 1915464348 2234708406 3352062609 4469416812 6704125218 13408250436