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19627729801 = 29248312
BaseRepresentation
bin10010010001111001…
…110110001110001001
31212122220000222112121
4102101321312032021
5310144144323201
613003350211241
71263251644021
oct222171661611
955586028477
1019627729801
1183623839a9
123979353b21
131b0a524c04
14d42a9ca81
1579d2339a1
hex491e76389

19627729801 has 9 divisors (see below), whose sum is σ = 20332095303. Its totient is φ = 18946988760.

The previous prime is 19627729799. The next prime is 19627729817. The reversal of 19627729801 is 10892772691.

The square root of 19627729801 is 140099.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10292305401 + 9335424400 = 101451^2 + 96620^2 .

It is not a de Polignac number, because 19627729801 - 21 = 19627729799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19627729841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4060456 + ... + 4065286.

Almost surely, 219627729801 is an apocalyptic number.

19627729801 is the 140099-th square number.

19627729801 is the 70050-th centered octagonal number.

It is an amenable number.

19627729801 is a deficient number, since it is larger than the sum of its proper divisors (704365502).

19627729801 is an frugal number, since it uses more digits than its factorization.

19627729801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9720 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 52.

The spelling of 19627729801 in words is "nineteen billion, six hundred twenty-seven million, seven hundred twenty-nine thousand, eight hundred one".

Divisors: 1 29 841 4831 140099 4062871 23338561 676818269 19627729801