Search a number
-
+
19509753440 = 255743164113
BaseRepresentation
bin10010001010110111…
…110011011001100000
31212100200001011101202
4102022313303121200
5304423444102230
612543533420332
71260320111432
oct221267633140
955320034352
1019509753440
118301824581
12394593a6a8
131abbc59108
14d3114c652
15792bcca45
hex48adf3660

19509753440 has 48 divisors (see below), whose sum is σ = 46154108448. Its totient is φ = 7793350656.

The previous prime is 19509753409. The next prime is 19509753449. The reversal of 19509753440 is 4435790591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19509753449) 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 7 ways as a sum of consecutive naturals, for example, 36824 + ... + 200936.

It is an arithmetic number, because the mean of its divisors is an integer number (961543926).

Almost surely, 219509753440 is an apocalyptic number.

19509753440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19509753440 is an abundant number, since it is smaller than the sum of its proper divisors (26644355008).

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

19509753440 is a wasteful number, since it uses less digits than its factorization.

19509753440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164871 (or 164863 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The spelling of 19509753440 in words is "nineteen billion, five hundred nine million, seven hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 743 1486 2972 3715 5944 7430 11888 14860 23776 29720 59440 118880 164113 328226 656452 820565 1312904 1641130 2625808 3282260 5251616 6564520 13129040 26258080 121935959 243871918 487743836 609679795 975487672 1219359590 1950975344 2438719180 3901950688 4877438360 9754876720 19509753440