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81978319488 = 2731381120249
BaseRepresentation
bin100110001011001001…
…0011110001010000000
321211121012200010011010
41030112102132022000
52320342422210423
6101354343520520
75631333134622
oct1142622361200
9254535603133
1081978319488
113184869586a
1213a7a459140
137965c5ab70
143d797ccc12
1521ebeec693
hex131649e280

81978319488 has 128 divisors (see below), whose sum is σ = 234806040000. Its totient is φ = 25191751680.

The previous prime is 81978319483. The next prime is 81978319523. The reversal of 81978319488 is 88491387918.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (81978319481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4038388 + ... + 4058636.

Almost surely, 281978319488 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 81978319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117403020000).

81978319488 is an abundant number, since it is smaller than the sum of its proper divisors (152827720512).

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

81978319488 is a wasteful number, since it uses less digits than its factorization.

81978319488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21090 (or 21078 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 66.

The spelling of 81978319488 in words is "eighty-one billion, nine hundred seventy-eight million, three hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 811 832 1248 1622 1664 2433 2496 3244 4866 4992 6488 9732 10543 12976 19464 20249 21086 25952 31629 38928 40498 42172 51904 60747 63258 77856 80996 84344 103808 121494 126516 155712 161992 168688 242988 253032 263237 311424 323984 337376 485976 506064 526474 647968 674752 789711 971952 1012128 1052948 1295936 1349504 1579422 1943904 2024256 2105896 2591872 3158844 3887808 4048512 4211792 6317688 7775616 8423584 12635376 16421939 16847168 25270752 32843878 33694336 49265817 50541504 65687756 98531634 101083008 131375512 197063268 213485207 262751024 394126536 426970414 525502048 640455621 788253072 853940828 1051004096 1280911242 1576506144 1707881656 2102008192 2561822484 3153012288 3415763312 5123644968 6306024576 6831526624 10247289936 13663053248 20494579872 27326106496 40989159744 81978319488