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19023833703424 = 210112123912
BaseRepresentation
bin1000101001101010101001…
…10110011010010000000000
32111100122211200100122212011
410110311110312122100000
54443141302412002144
6104243232322342304
74002266222300434
oct424652466322000
974318750318764
1019023833703424
116074a651a2300
122172b434ba994
13a7cc2aa2aab4
1449aa893229c4
1522ecc0c12a34
hex114d54d9a400

19023833703424 has 99 divisors (see below), whose sum is σ = 41803943123523. Its totient is φ = 8646499276800.

The previous prime is 19023833703373. The next prime is 19023833703449. The reversal of 19023833703424 is 42430733832091.

The square root of 19023833703424 is 4361632.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1535288269 + ... + 1535300659.

Almost surely, 219023833703424 is an apocalyptic number.

19023833703424 is the 4361632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19023833703424

19023833703424 is an abundant number, since it is smaller than the sum of its proper divisors (22780109420099).

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

19023833703424 is an frugal number, since it uses more digits than its factorization.

19023833703424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24824 (or 12404 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

Multiplying 19023833703424 by its sum of digits (49), we get a square (932167851467776 = 305314242).

The spelling of 19023833703424 in words is "nineteen trillion, twenty-three billion, eight hundred thirty-three million, seven hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 7744 11264 12391 15488 24782 30976 49564 61952 99128 123904 136301 198256 272602 396512 545204 793024 1090408 1499311 1586048 2180816 2998622 3172096 4361632 5997244 6344192 8723264 11994488 12688384 17446528 23988976 34893056 47977952 69786112 95955904 139572224 153536881 191911808 307073762 383823616 614147524 767647232 1228295048 1535294464 1688905691 2456590096 3377811382 4913180192 6755622764 9826360384 13511245528 18577962601 19652720768 27022491056 37155925202 39305441536 54044982112 74311850404 78610883072 108089964224 148623700808 157221766144 216179928448 297247401616 432359856896 594494803232 864719713792 1188989606464 1729439427584 2377979212928 4755958425856 9511916851712 19023833703424