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13132534544 = 2417227710253
BaseRepresentation
bin11000011101100001…
…01001001100010000
31020220020011212200022
430032300221030100
5203343412101134
610011043443012
7643302462503
oct141660511420
936806155608
1013132534544
115629a78638
122666086468
131313996ccc
148c81c913a
1551cdd152e
hex30ec29310

13132534544 has 60 divisors (see below), whose sum is σ = 27129274404. Its totient is φ = 6157105152.

The previous prime is 13132534537. The next prime is 13132534567. The reversal of 13132534544 is 44543523131.

It can be written as a sum of positive squares in 6 ways, for example, as 131974144 + 13000560400 = 11488^2 + 114020^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275722 + ... + 1285974.

Almost surely, 213132534544 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 13132534544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564637202).

13132534544 is an abundant number, since it is smaller than the sum of its proper divisors (13996739860).

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

13132534544 is a wasteful number, since it uses less digits than its factorization.

13132534544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10572 (or 10549 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The spelling of 13132534544 in words is "thirteen billion, one hundred thirty-two million, five hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 277 289 554 578 1108 1156 2216 2312 4432 4624 4709 9418 10253 18836 20506 37672 41012 75344 80053 82024 160106 164048 174301 320212 348602 640424 697204 1280848 1394408 2788816 2840081 2963117 5680162 5926234 11360324 11852468 22720648 23704936 45441296 47409872 48281377 96562754 193125508 386251016 772502032 820783409 1641566818 3283133636 6566267272 13132534544