Search a number
-
+
13201332601872 = 2431318171256939
BaseRepresentation
bin1100000000011010110010…
…1111011000010000010000
31201202000221120022101212210
43000012230233120100100
53212242312121224442
644024335232552120
72531523220442142
oct300065457302020
951660846271783
1013201332601872
11422a721106458
12159260b6b2640
13749b5a0b88bc
14338d3b0b2c92
1517d5e4adb19c
hexc01acbd8410

13201332601872 has 80 divisors (see below), whose sum is σ = 34368113514240. Its totient is φ = 4366301596800.

The previous prime is 13201332601841. The next prime is 13201332601879. The reversal of 13201332601872 is 27810623310231.

It is a self number, because there is not a number n which added to its sum of digits gives 13201332601872.

It is not an unprimeable number, because it can be changed into a prime (13201332601879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51250779 + ... + 51507717.

It is an arithmetic number, because the mean of its divisors is an integer number (429601418928).

Almost surely, 213201332601872 is an apocalyptic number.

13201332601872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13201332601872 is an abundant number, since it is smaller than the sum of its proper divisors (21166780912368).

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

13201332601872 is a wasteful number, since it uses less digits than its factorization.

13201332601872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265252 (or 265246 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13201332601872 in words is "thirteen trillion, two hundred one billion, three hundred thirty-two million, six hundred one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 8171 16342 24513 32684 49026 65368 98052 130736 196104 256939 392208 513878 770817 1027756 1070401 1541634 2055512 2140802 3083268 3211203 4111024 4281604 6166536 6422406 8563208 12333072 12844812 17126416 25689624 33659009 51379248 67318018 100977027 134636036 201954054 269272072 403908108 538544144 807816216 1615632432 2099448569 4198897138 6298345707 8397794276 12596691414 16795588552 25193382828 33591177104 50386765656 100773531312 275027762539 550055525078 825083287617 1100111050156 1650166575234 2200222100312 3300333150468 4400444200624 6600666300936 13201332601872