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10983440608 = 2572317312323
BaseRepresentation
bin10100011101010101…
…00000000011100000
31001100110021121000121
422032222200003200
5134443230044413
65013513130024
7536115463510
oct121652400340
931313247017
1010983440608
114726958548
1221663b9914
13106067a2aa
147629dd840
154443bcb8d
hex28eaa00e0

10983440608 has 96 divisors (see below), whose sum is σ = 25938372096. Its totient is φ = 4476139008.

The previous prime is 10983440581. The next prime is 10983440609. The reversal of 10983440608 is 80604438901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10983440609) 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, 885135 + ... + 897457.

It is an arithmetic number, because the mean of its divisors is an integer number (270191376).

Almost surely, 210983440608 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 10983440608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12969186048).

10983440608 is an abundant number, since it is smaller than the sum of its proper divisors (14954931488).

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

10983440608 is a wasteful number, since it uses less digits than its factorization.

10983440608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 10983440608 in words is "ten billion, nine hundred eighty-three million, four hundred forty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 173 184 224 322 346 368 644 692 736 1211 1288 1384 2422 2576 2768 3979 4844 5152 5536 7958 9688 12323 15916 19376 24646 27853 31832 38752 49292 55706 63664 86261 98584 111412 127328 172522 197168 222824 283429 345044 394336 445648 566858 690088 891296 1133716 1380176 1984003 2131879 2267432 2760352 3968006 4263758 4534864 7936012 8527516 9069728 14923153 15872024 17055032 29846306 31744048 34110064 49033217 59692612 63488096 68220128 98066434 119385224 196132868 238770448 343232519 392265736 477540896 686465038 784531472 1372930076 1569062944 2745860152 5491720304 10983440608