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19984711140 = 22325474395381
BaseRepresentation
bin10010100111001011…
…100111110111100100
31220120202202111212200
4102213023213313210
5311412041224030
613103021414500
71305145145652
oct224713476744
956522674780
1019984711140
1185259372a9
123a58a0a430
131b66483984
14d78265dd2
157be74ad60
hex4a72e7de4

19984711140 has 144 divisors (see below), whose sum is σ = 62062640640. Its totient is φ = 5203019520.

The previous prime is 19984711129. The next prime is 19984711141. The reversal of 19984711140 is 4111748991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19984711141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3711250 + ... + 3716630.

It is an arithmetic number, because the mean of its divisors is an integer number (430990560).

Almost surely, 219984711140 is an apocalyptic number.

19984711140 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 19984711140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31031320320).

19984711140 is an abundant number, since it is smaller than the sum of its proper divisors (42077929500).

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

19984711140 is a wasteful number, since it uses less digits than its factorization.

19984711140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 19984711140 in words is "nineteen billion, nine hundred eighty-four million, seven hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 439 470 564 705 846 878 940 1317 1410 1692 1756 2115 2195 2634 2820 3951 4230 4390 5268 5381 6585 7902 8460 8780 10762 13170 15804 16143 19755 20633 21524 26340 26905 32286 39510 41266 48429 53810 61899 64572 79020 80715 82532 96858 103165 107620 123798 161430 185697 193716 206330 242145 247596 252907 309495 322860 371394 412660 484290 505814 618990 742788 758721 928485 968580 1011628 1237980 1264535 1517442 1856970 2276163 2362259 2529070 3034884 3713940 3793605 4552326 4724518 5058140 7086777 7587210 9104652 9449036 11380815 11811295 14173554 15174420 21260331 22761630 23622590 28347108 35433885 42520662 45523260 47245180 70867770 85041324 106301655 111026173 141735540 212603310 222052346 333078519 425206620 444104692 555130865 666157038 999235557 1110261730 1332314076 1665392595 1998471114 2220523460 3330785190 3996942228 4996177785 6661570380 9992355570 19984711140