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13235453244 = 22331359159779
BaseRepresentation
bin11000101001110010…
…01111110100111100
31021011101211200121000
430110321033310330
5204101234000434
610025201410300
7645662332146
oct142471176474
937141750530
1013235453244
115682082a12
122694639990
13132c0c0150
148d7b39c96
15526e60b99
hex314e4fd3c

13235453244 has 96 divisors (see below), whose sum is σ = 37580256000. Its totient is φ = 4003397568.

The previous prime is 13235453239. The next prime is 13235453251. The reversal of 13235453244 is 44235453231.

13235453244 is a `hidden beast` number, since 1 + 32 + 3 + 54 + 532 + 44 = 666.

It is a super-2 number, since 2×132354532442 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13235453199 and 13235453208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2947 + ... + 162725.

It is an arithmetic number, because the mean of its divisors is an integer number (391461000).

Almost surely, 213235453244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13235453244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18790128000).

13235453244 is an abundant number, since it is smaller than the sum of its proper divisors (24344802756).

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

13235453244 is a wasteful number, since it uses less digits than its factorization.

13235453244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159864 (or 159856 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 13235453244 in words is "thirteen billion, two hundred thirty-five million, four hundred fifty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 108 117 118 156 177 234 236 351 354 468 531 702 708 767 1062 1404 1534 1593 2124 2301 3068 3186 4602 6372 6903 9204 13806 20709 27612 41418 82836 159779 319558 479337 639116 958674 1438011 1917348 2077127 2876022 4154254 4314033 5752044 6231381 8308508 8628066 9426961 12462762 17256132 18694143 18853922 24925524 28280883 37388286 37707844 56082429 56561766 74776572 84842649 112164858 113123532 122550493 169685298 224329716 245100986 254527947 339370596 367651479 490201972 509055894 735302958 1018111788 1102954437 1470605916 2205908874 3308863311 4411817748 6617726622 13235453244