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19918241424 = 24321926192
BaseRepresentation
bin10010100011001110…
…000011111010010000
31220102010200111120100
4102203032003322100
5311243032211144
613052245012400
71303410154464
oct224316037220
956363614510
1019918241424
1184a1367654
123a3a6b4100
131b5577cc93
14d6d4c24a4
157b89bb269
hex4a3383e90

19918241424 has 135 divisors (see below), whose sum is σ = 58926886083. Its totient is φ = 6279809472.

The previous prime is 19918241401. The next prime is 19918241429. The reversal of 19918241424 is 42414281991.

The square root of 19918241424 is 141132.

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

19918241424 is a `hidden beast` number, since 1 + 9 + 9 + 182 + 41 + 424 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19918241424.

It is not an unprimeable number, because it can be changed into a prime (19918241429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32177787 + ... + 32178405.

Almost surely, 219918241424 is an apocalyptic number.

19918241424 is the 141132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19918241424

19918241424 is an abundant number, since it is smaller than the sum of its proper divisors (39008644659).

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

19918241424 is an equidigital number, since it uses as much as digits as its factorization.

19918241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 643 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 19918241424 in words is "nineteen billion, nine hundred eighteen million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 619 684 722 912 1083 1238 1368 1444 1857 2166 2476 2736 2888 3249 3714 4332 4952 5571 5776 6498 7428 8664 9904 11142 11761 12996 14856 17328 22284 23522 25992 29712 35283 44568 47044 51984 70566 89136 94088 105849 141132 188176 211698 223459 282264 383161 423396 446918 564528 670377 766322 846792 893836 1149483 1340754 1532644 1693584 1787672 2011131 2298966 2681508 3065288 3448449 3575344 4022262 4597932 5363016 6130576 6896898 7280059 8044524 9195864 10726032 13793796 14560118 16089048 18391728 21840177 27587592 29120236 32178096 43680354 55175184 58240472 65520531 87360708 116480944 131041062 138321121 174721416 262082124 276642242 349442832 414963363 524164248 553284484 829926726 1048328496 1106568968 1244890089 1659853452 2213137936 2489780178 3319706904 4979560356 6639413808 9959120712 19918241424