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13250051363844 = 2232412147972
BaseRepresentation
bin1100000011010000010010…
…0110101101010000000100
31201220200200212020221100100
43000310010212231100010
53214042101122120334
644102553425044100
72535166424206101
oct300640446552004
951820625227310
1013250051363844
1142493516263a9
12159bb47486630
1375162258c3c9
1433b43d5a7aa8
1517e9e6c49c99
hexc0d049ad404

13250051363844 has 81 divisors (see below), whose sum is σ = 34332337135551. Its totient is φ = 4308668588160.

The previous prime is 13250051363749. The next prime is 13250051363851. The reversal of 13250051363844 is 44836315005231.

The square root of 13250051363844 is 3640062.

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

13250051363844 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 0 + 0 + 5 + 1 + 3 + 638 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5481076968900 + 7768974394944 = 2341170^2 + 2787288^2 .

It is a super-3 number, since 3×132500513638443 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13250051363844.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 895447854 + ... + 895462650.

Almost surely, 213250051363844 is an apocalyptic number.

13250051363844 is the 3640062-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13250051363844

13250051363844 is an abundant number, since it is smaller than the sum of its proper divisors (21082285771707).

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

13250051363844 is an frugal number, since it uses more digits than its factorization.

13250051363844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29686 (or 14843 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 13250051363844 in words is "thirteen trillion, two hundred fifty billion, fifty-one million, three hundred sixty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 5043 6724 10086 14797 15129 20172 29594 30258 44391 59188 60516 88782 133173 177564 266346 532692 606677 1213354 1820031 2426708 3640062 5460093 7280124 10920186 21840372 24873757 49747514 74621271 99495028 149242542 218951209 223863813 298485084 437902418 447727626 656853627 875804836 895455252 1313707254 1970560881 2627414508 3941121762 7882243524 8976999569 17953999138 26930998707 35907998276 53861997414 80792996121 107723994828 161585992242 323171984484 368056982329 736113964658 1104170946987 1472227929316 2208341893974 3312512840961 4416683787948 6625025681922 13250051363844