Search a number
-
+
132656523334320 = 2435552735513893
BaseRepresentation
bin11110001010011010000000…
…111100110101001010110000
3122101200211200012100002020210
4132022122000330311022300
5114341421024433144240
61150045322052304120
736641055212366646
oct3612320074651260
9571624605302223
10132656523334320
11392a535208a247
1212a65881312040
1359035c1b475bb
1424a8877b3d196
151050a797e8780
hex78a680f352b0

132656523334320 has 40 divisors (see below), whose sum is σ = 411235222337136. Its totient is φ = 35375072889088.

The previous prime is 132656523334319. The next prime is 132656523334331. The reversal of 132656523334320 is 23433325656231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132656523334320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276367756707 + ... + 276367757186.

Almost surely, 2132656523334320 is an apocalyptic number.

132656523334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132656523334320 is an abundant number, since it is smaller than the sum of its proper divisors (278578699002816).

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

132656523334320 is a wasteful number, since it uses less digits than its factorization.

132656523334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552735513909 (or 552735513903 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 48.

The spelling of 132656523334320 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, five hundred twenty-three million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 552735513893 1105471027786 1658206541679 2210942055572 2763677569465 3316413083358 4421884111144 5527355138930 6632826166716 8291032708395 8843768222288 11054710277860 13265652333432 16582065416790 22109420555720 26531304666864 33164130833580 44218841111440 66328261667160 132656523334320