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19753086241 = 72403124209
BaseRepresentation
bin10010011001011000…
…000010110100100001
31212222121220202020201
4102121120002310201
5310423242224431
613024025105201
71266333314500
oct223130026441
955877822221
1019753086241
118417114069
1239b3328201
131b2a4a5c15
14d555b0837
157a9246461
hex499602d21

19753086241 has 6 divisors (see below), whose sum is σ = 22978079970. Its totient is φ = 16931216736.

The previous prime is 19753086239. The next prime is 19753086277. The reversal of 19753086241 is 14268035791.

It can be written as a sum of positive squares in only one way, i.e., 13437446400 + 6315639841 = 115920^2 + 79471^2 .

It is not a de Polignac number, because 19753086241 - 21 = 19753086239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19753086191 and 19753086200.

It is not an unprimeable number, because it can be changed into a prime (19753086341) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 201562056 + ... + 201562153.

It is an arithmetic number, because the mean of its divisors is an integer number (3829679995).

It is a 2-persistent number, because it is pandigital, and so is 2⋅19753086241 = 39506172482, but 3⋅19753086241 = 59259258723 is not.

Almost surely, 219753086241 is an apocalyptic number.

It is an amenable number.

19753086241 is a deficient number, since it is larger than the sum of its proper divisors (3224993729).

19753086241 is an equidigital number, since it uses as much as digits as its factorization.

19753086241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403124223 (or 403124216 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 19753086241 in words is "nineteen billion, seven hundred fifty-three million, eighty-six thousand, two hundred forty-one".

Divisors: 1 7 49 403124209 2821869463 19753086241