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19281473440 = 255174124217
BaseRepresentation
bin10001111101010000…
…111110111110100000
31211202202111100002221
4101331100332332200
5303442024122230
612505140520424
71251545551165
oct217520767640
954682440087
1019281473440
1181a4986419
1238a13b0114
131a8387c9a8
14d0cac806c
1577cb3927a
hex47d43efa0

19281473440 has 144 divisors (see below), whose sum is σ = 49448845656. Its totient is φ = 7080181760.

The previous prime is 19281473293. The next prime is 19281473443. The reversal of 19281473440 is 4437418291.

It can be written as a sum of positive squares in 12 ways, for example, as 313573264 + 18967900176 = 17708^2 + 137724^2 .

It is not an unprimeable number, because it can be changed into a prime (19281473443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4570212 + ... + 4574428.

Almost surely, 219281473440 is an apocalyptic number.

19281473440 is a gapful number since it is divisible by the number (10) 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 19281473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24724422828).

19281473440 is an abundant number, since it is smaller than the sum of its proper divisors (30167372216).

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

19281473440 is a wasteful number, since it uses less digits than its factorization.

19281473440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 19281473440 in words is "nineteen billion, two hundred eighty-one million, four hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 205 272 328 340 410 544 656 680 697 820 1312 1360 1394 1640 1681 2720 2788 3280 3362 3485 4217 5576 6560 6724 6970 8405 8434 11152 13448 13940 16810 16868 21085 22304 26896 27880 28577 33620 33736 42170 53792 55760 57154 67240 67472 71689 84340 111520 114308 134480 134944 142885 143378 168680 172897 228616 268960 285770 286756 337360 345794 358445 457232 571540 573512 674720 691588 716890 864485 914464 1143080 1147024 1383176 1433780 1728970 2286160 2294048 2766352 2867560 2939249 3457940 4572320 5532704 5735120 5878498 6915880 7088777 11470240 11756996 13831760 14177554 14696245 23513992 27663520 28355108 29392490 35443885 47027984 56710216 58784980 70887770 94055968 113420432 117569960 120509209 141775540 226840864 235139920 241018418 283551080 470279840 482036836 567102160 602546045 964073672 1134204320 1205092090 1928147344 2410184180 3856294688 4820368360 9640736720 19281473440