Search a number
-
+
132124624080 = 24352918983423
BaseRepresentation
bin111101100001100111…
…1011100010011010000
3110122000222210022221120
41323003033130103100
54131042400432310
6140410333122240
712355112526441
oct1730317342320
9418028708846
10132124624080
11510409a66a9
1221734329380
13c5c8104747
1465757252c8
153684641b70
hex1ec33dc4d0

132124624080 has 80 divisors (see below), whose sum is σ = 423710023680. Its totient is φ = 34018292224.

The previous prime is 132124624031. The next prime is 132124624081. The reversal of 132124624080 is 80426421231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132124624081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9484752 + ... + 9498671.

It is an arithmetic number, because the mean of its divisors is an integer number (5296375296).

Almost surely, 2132124624080 is an apocalyptic number.

132124624080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132124624080 is an abundant number, since it is smaller than the sum of its proper divisors (291585399600).

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

132124624080 is a wasteful number, since it uses less digits than its factorization.

132124624080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18983468 (or 18983462 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 132124624080 in words is "one hundred thirty-two billion, one hundred twenty-four million, six hundred twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 18983423 37966846 56950269 75933692 94917115 113900538 151867384 189834230 227801076 284751345 303734768 379668460 455602152 550519267 569502690 759336920 911204304 1101038534 1139005380 1518673840 1651557801 2202077068 2278010760 2752596335 3303115602 4404154136 4556021520 5505192670 6606231204 8257789005 8808308272 11010385340 13212462408 16515578010 22020770680 26424924816 33031156020 44041541360 66062312040 132124624080