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11053515040 = 255831038081
BaseRepresentation
bin10100100101101011…
…10100000100100000
31001112100010202001221
422102311310010200
5140114144440130
65024455104424
7540626220241
oct122265640440
931470122057
1011053515040
11476246a4a7
122185972114
131072043959
1476c040cc8
1544a61087a
hex292d74120

11053515040 has 96 divisors (see below), whose sum is σ = 26688445056. Its totient is φ = 4325191680.

The previous prime is 11053515019. The next prime is 11053515101. The reversal of 11053515040 is 4051535011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11053514996 and 11053515014.

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 15 ways as a sum of consecutive naturals, for example, 1363800 + ... + 1371880.

It is an arithmetic number, because the mean of its divisors is an integer number (278004636).

Almost surely, 211053515040 is an apocalyptic number.

11053515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11053515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344222528).

11053515040 is an abundant number, since it is smaller than the sum of its proper divisors (15634930016).

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

11053515040 is a wasteful number, since it uses less digits than its factorization.

11053515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 11053515040 in words is "eleven billion, fifty-three million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 103 160 166 206 332 412 415 515 664 824 830 1030 1328 1648 1660 2060 2656 3296 3320 4120 6640 8081 8240 8549 13280 16162 16480 17098 32324 34196 40405 42745 64648 68392 80810 85490 129296 136784 161620 170980 258592 273568 323240 341960 646480 670723 683920 832343 1292960 1341446 1367840 1664686 2682892 3329372 3353615 4161715 5365784 6658744 6707230 8323430 10731568 13317488 13414460 16646860 21463136 26634976 26828920 33293720 53657840 66587440 69084469 107315680 133174880 138168938 276337876 345422345 552675752 690844690 1105351504 1381689380 2210703008 2763378760 5526757520 11053515040