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72144478345 = 517538230973
BaseRepresentation
bin100001100110000100…
…1010110000010001001
320220012212120020010111
41003030021112002021
52140222441301340
653050454314321
75132543643052
oct1031411260211
9226185506114
1072144478345
112866174a425
1211b950589a1
136a59809554
1436c575d729
151d23a11aea
hex10cc256089

72144478345 has 8 divisors (see below), whose sum is σ = 86622770376. Its totient is φ = 57682651776.

The previous prime is 72144478313. The next prime is 72144478363. The reversal of 72144478345 is 54387444127.

It can be written as a sum of positive squares in 4 ways, for example, as 3594242304 + 68550236041 = 59952^2 + 261821^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72144478345 - 25 = 72144478313 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 4106722 + ... + 4124251.

It is an arithmetic number, because the mean of its divisors is an integer number (10827846297).

Almost surely, 272144478345 is an apocalyptic number.

It is an amenable number.

72144478345 is a deficient number, since it is larger than the sum of its proper divisors (14478292031).

72144478345 is a wasteful number, since it uses less digits than its factorization.

72144478345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232731.

The product of its digits is 3010560, while the sum is 49.

The spelling of 72144478345 in words is "seventy-two billion, one hundred forty-four million, four hundred seventy-eight thousand, three hundred forty-five".

Divisors: 1 5 1753 8765 8230973 41154865 14428895669 72144478345