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13281126852 = 22371752317783
BaseRepresentation
bin11000101111001110…
…11110100111000100
31021021120210011000010
430113213132213010
5204144432024402
610033512350220
7650055500310
oct142747364704
937246704003
1013281126852
1156a59391a4
1226a79a5370
1313386c2256
148ddc28b40
1552ae83a6c
hex3179de9c4

13281126852 has 96 divisors (see below), whose sum is σ = 37573466112. Its totient is φ = 3564366336.

The previous prime is 13281126827. The next prime is 13281126893. The reversal of 13281126852 is 25862118231.

It is a self number, because there is not a number n which added to its sum of digits gives 13281126852.

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, 737953 + ... + 755735.

It is an arithmetic number, because the mean of its divisors is an integer number (391390272).

Almost surely, 213281126852 is an apocalyptic number.

13281126852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13281126852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786733056).

13281126852 is an abundant number, since it is smaller than the sum of its proper divisors (24292339260).

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

13281126852 is a wasteful number, since it uses less digits than its factorization.

13281126852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18337 (or 18335 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The spelling of 13281126852 in words is "thirteen billion, two hundred eighty-one million, one hundred twenty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 523 714 1046 1428 1569 2092 3138 3661 6276 7322 8891 10983 14644 17782 17783 21966 26673 35564 35566 43932 53346 53349 62237 71132 106692 106698 124474 124481 186711 213396 248948 248962 302311 373422 373443 497924 604622 746844 746886 906933 1209244 1493772 1813866 2116177 3627732 4232354 6348531 8464708 9300509 12697062 18601018 25394124 27901527 37202036 55803054 65103563 111606108 130207126 158108653 195310689 260414252 316217306 390621378 474325959 632434612 781242756 948651918 1106760571 1897303836 2213521142 3320281713 4427042284 6640563426 13281126852