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19017485424 = 243376419811
BaseRepresentation
bin10001101101100001…
…111100110001110000
31211002100202100122000
4101231201330301300
5302421434013144
612423030414000
71242161646630
oct215541746160
954070670560
1019017485424
118079969303
123828b01300
131a40c80472
14cc5a0a6c0
15764890769
hex46d87cc70

19017485424 has 160 divisors (see below), whose sum is σ = 62489095680. Its totient is φ = 5424537600.

The previous prime is 19017485419. The next prime is 19017485437. The reversal of 19017485424 is 42458471091.

19017485424 is a `hidden beast` number, since 1 + 90 + 17 + 4 + 8 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19017485424.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1933479 + ... + 1943289.

It is an arithmetic number, because the mean of its divisors is an integer number (390556848).

Almost surely, 219017485424 is an apocalyptic number.

19017485424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19017485424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31244547840).

19017485424 is an abundant number, since it is smaller than the sum of its proper divisors (43471610256).

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

19017485424 is a wasteful number, since it uses less digits than its factorization.

19017485424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 19017485424 in words is "nineteen billion, seventeen million, four hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 641 756 1008 1282 1512 1923 2564 3024 3846 4487 5128 5769 7692 8974 9811 10256 11538 13461 15384 17307 17948 19622 23076 26922 29433 30768 34614 35896 39244 40383 46152 53844 58866 68677 69228 71792 78488 80766 88299 92304 107688 117732 121149 137354 138456 156976 161532 176598 206031 215376 235464 242298 264897 274708 276912 323064 353196 412062 470928 484596 529794 549416 618093 646128 706392 824124 969192 1059588 1098832 1236186 1412784 1648248 1854279 1938384 2119176 2472372 3296496 3708558 4238352 4944744 6288851 7417116 9889488 12577702 14834232 18866553 25155404 29668464 37733106 44021957 50310808 56599659 75466212 88043914 100621616 113199318 132065871 150932424 169798977 176087828 226398636 264131742 301864848 339597954 352175656 396197613 452797272 528263484 679195908 704351312 792395226 905594544 1056526968 1188592839 1358391816 1584790452 2113053936 2377185678 2716783632 3169580904 4754371356 6339161808 9508742712 19017485424