Search a number
-
+
81387956608 = 2777110312421
BaseRepresentation
bin100101111001100011…
…0011010100110000000
321210002001210120112021
41023303012122212000
52313140304102413
6101220014211224
75610604134220
oct1136306324600
9253061716467
1081387956608
113157541a462
12139347b3b14
1378a085790a
143d21234080
1521b528518d
hex12f319a980

81387956608 has 128 divisors (see below), whose sum is σ = 189752509440. Its totient is φ = 34052659200.

The previous prime is 81387956591. The next prime is 81387956623. The reversal of 81387956608 is 80665978318.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6546238 + ... + 6558658.

It is an arithmetic number, because the mean of its divisors is an integer number (1482441480).

Almost surely, 281387956608 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 81387956608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94876254720).

81387956608 is an abundant number, since it is smaller than the sum of its proper divisors (108364552832).

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

81387956608 is a wasteful number, since it uses less digits than its factorization.

81387956608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 81387956608 in words is "eighty-one billion, three hundred eighty-seven million, nine hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 103 112 128 142 206 224 284 412 448 497 568 721 824 896 994 1136 1442 1648 1988 2272 2884 3296 3976 4544 5768 6592 7313 7952 9088 11536 12421 13184 14626 15904 23072 24842 29252 31808 46144 49684 51191 58504 63616 86947 92288 99368 102382 117008 173894 198736 204764 234016 347788 397472 409528 468032 695576 794944 819056 881891 936064 1279363 1391152 1589888 1638112 1763782 2558726 2782304 3276224 3527564 5117452 5564608 6173237 6552448 7055128 8955541 10234904 11129216 12346474 14110256 17911082 20469808 24692948 28220512 35822164 40939616 49385896 56441024 71644328 81879232 90834773 98771792 112882048 143288656 163758464 181669546 197543584 286577312 363339092 395087168 573154624 635843411 726678184 790174336 1146309248 1271686822 1453356368 2543373644 2906712736 5086747288 5813425472 10173494576 11626850944 20346989152 40693978304 81387956608