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19317411984 = 24313172107119
BaseRepresentation
bin10001111111011010…
…000101000010010000
31211212021010012112010
4101333122011002100
5304030224140414
612512503102520
71252463202243
oct217732050220
954767105463
1019317411984
1182131a25a2
1238b1441a40
131a8b1539c0
14d137a125a
15780d87959
hex47f685090

19317411984 has 120 divisors (see below), whose sum is σ = 57089818240. Its totient is φ = 5594130432.

The previous prime is 19317411983. The next prime is 19317412007. The reversal of 19317411984 is 48911471391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (19317411983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126777 + ... + 233895.

Almost surely, 219317411984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19317411984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28544909120).

19317411984 is an abundant number, since it is smaller than the sum of its proper divisors (37772406256).

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

19317411984 is a wasteful number, since it uses less digits than its factorization.

19317411984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107177 (or 107154 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The spelling of 19317411984 in words is "nineteen billion, three hundred seventeen million, four hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 289 312 408 442 578 624 663 816 867 884 1156 1326 1734 1768 2312 2652 3468 3536 3757 4624 5304 6936 7514 10608 11271 13872 15028 22542 30056 45084 60112 90168 107119 180336 214238 321357 428476 642714 856952 1285428 1392547 1713904 1821023 2570856 2785094 3642046 4177641 5141712 5463069 5570188 7284092 8355282 10926138 11140376 14568184 16710564 21852276 22280752 23673299 29136368 30957391 33421128 43704552 47346598 61914782 66842256 71019897 87409104 92872173 94693196 123829564 142039794 185744346 189386392 247659128 284079588 371488692 378772784 402446083 495318256 568159176 742977384 804892166 1136318352 1207338249 1485954768 1609784332 2414676498 3219568664 4829352996 6439137328 9658705992 19317411984