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19945565248 = 267317192997
BaseRepresentation
bin10010100100110110…
…010010110001000000
31220111001002200210211
4102210312102301000
5311322031041443
613055102403504
71304161336000
oct224466226100
956431080724
1019945565248
11850582a424
123a47890594
131b5b328b1b
14d72d96000
157bb0b719d
hex4a4d92c40

19945565248 has 448 divisors, whose sum is σ = 53766720000. Its totient is φ = 7283146752.

The previous prime is 19945565209. The next prime is 19945565279. The reversal of 19945565248 is 84256554991.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 19945565192 and 19945565201.

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 63 ways as a sum of consecutive naturals, for example, 205624336 + ... + 205624432.

It is an arithmetic number, because the mean of its divisors is an integer number (120015000).

Almost surely, 219945565248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19945565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883360000).

19945565248 is an abundant number, since it is smaller than the sum of its proper divisors (33821154752).

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

19945565248 is a wasteful number, since it uses less digits than its factorization.

19945565248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 58.

The spelling of 19945565248 in words is "nineteen billion, nine hundred forty-five million, five hundred sixty-five thousand, two hundred forty-eight".