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10980903744 = 2632158312043
BaseRepresentation
bin10100011101000001…
…10100101101000000
31001100021111201002200
422032200310231000
5134442102404434
65013342513200
7536055066426
oct121640645500
931307451080
1010980903744
114725485568
122165595800
13105cc9c6a5
1476253d116
1544406b199
hex28e834b40

10980903744 has 84 divisors (see below), whose sum is σ = 31497276096. Its totient is φ = 3657685248.

The previous prime is 10980903727. The next prime is 10980903781. The reversal of 10980903744 is 44730908901.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10980903744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905787 + ... + 917829.

Almost surely, 210980903744 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 10980903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748638048).

10980903744 is an abundant number, since it is smaller than the sum of its proper divisors (20516372352).

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

10980903744 is a wasteful number, since it uses less digits than its factorization.

10980903744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13644 (or 13631 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10980903744 in words is "ten billion, nine hundred eighty million, nine hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1583 3166 4749 6332 9498 12043 12664 14247 18996 24086 25328 28494 36129 37992 48172 50656 56988 72258 75984 96344 101312 108387 113976 144516 151968 192688 216774 227952 289032 303936 385376 433548 455904 578064 770752 867096 911808 1156128 1734192 2312256 3468384 6936768 19064069 38128138 57192207 76256276 114384414 152512552 171576621 228768828 305025104 343153242 457537656 610050208 686306484 915075312 1220100416 1372612968 1830150624 2745225936 3660301248 5490451872 10980903744