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19503519025 = 52172312532
BaseRepresentation
bin10010001010100000…
…000001010100110001
31212100020022102101111
4102022200001110301
5304420400102100
612543152033321
71260213114334
oct221240012461
955306272344
1019503519025
1182a9256571
123943832841
131aba885503
14d303a861b
1579239a6ba
hex48a801531

19503519025 has 81 divisors (see below), whose sum is σ = 27056440803. Its totient is φ = 13943155200.

The previous prime is 19503519023. The next prime is 19503519029. The reversal of 19503519025 is 52091530591.

The square root of 19503519025 is 139655.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3000519729 + 16502999296 = 54777^2 + 128464^2 .

It is not a de Polignac number, because 19503519025 - 21 = 19503519023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19503519023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 367990899 + ... + 367990951.

Almost surely, 219503519025 is an apocalyptic number.

19503519025 is the 139655-th square number.

19503519025 is the 69828-th centered octagonal number.

It is an amenable number.

19503519025 is a deficient number, since it is larger than the sum of its proper divisors (7552921778).

19503519025 is an equidigital number, since it uses as much as digits as its factorization.

19503519025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 40.

The spelling of 19503519025 in words is "nineteen billion, five hundred three million, five hundred nineteen thousand, twenty-five".

Divisors: 1 5 17 25 31 53 85 155 265 289 425 527 775 901 961 1325 1445 1643 2635 2809 4505 4805 7225 8215 8959 13175 14045 15317 16337 22525 24025 27931 41075 44795 47753 50933 70225 76585 81685 87079 139655 223975 238765 254665 277729 382925 408425 435395 474827 698275 811801 865861 1193825 1273325 1388645 1480343 2176975 2374135 2699449 4059005 4329305 6943225 7401715 11870675 13497245 14719637 20295025 21646525 25165831 37008575 45890633 67486225 73598185 125829155 229453165 367990925 629145775 780140761 1147265825 3900703805 19503519025