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19545158416 = 247249932
BaseRepresentation
bin10010001100111110…
…110111001100010000
31212110010122220220011
4102030332313030100
5310012030032131
612551240324304
71261230051100
oct221476671420
955403586804
1019545158416
11831a806893
123955773694
131ac63a42c4
14d35b27200
15795d730b1
hex48cfb7310

19545158416 has 45 divisors (see below), whose sum is σ = 44060220981. Its totient is φ = 8374818816.

The previous prime is 19545158387. The next prime is 19545158419. The reversal of 19545158416 is 61485154591.

It is a happy number.

The square root of 19545158416 is 139804.

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., 6799651600 + 12745506816 = 82460^2 + 112896^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 19545158416.

It is not an unprimeable number, because it can be changed into a prime (19545158419) 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, 3912016 + ... + 3917008.

Almost surely, 219545158416 is an apocalyptic number.

19545158416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19545158416 is the 139804-th square number.

It is an amenable number.

19545158416 is an abundant number, since it is smaller than the sum of its proper divisors (24515062565).

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

19545158416 is an frugal number, since it uses more digits than its factorization.

19545158416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008 (or 5002 counting only the distinct ones).

The product of its digits is 864000, while the sum is 49.

Multiplying 19545158416 by its sum of digits (49), we get a square (957712762384 = 9786282).

19545158416 divided by its sum of digits (49) gives a square (398880784 = 199722).

The spelling of 19545158416 in words is "nineteen billion, five hundred forty-five million, one hundred fifty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4993 9986 19972 34951 39944 69902 79888 139804 244657 279608 489314 559216 978628 1957256 3914512 24930049 49860098 99720196 174510343 199440392 349020686 398880784 698041372 1221572401 1396082744 2443144802 2792165488 4886289604 9772579208 19545158416