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11018481920 = 28512976637
BaseRepresentation
bin10100100001100000…
…01011000100000000
31001102220012212122222
422100300023010000
5140031212410140
65021204150212
7540022356665
oct122060130400
931386185588
1011018481920
114744711606
122176098368
1310679c8ab4
14767521a6c
154474e05b5
hex290c0b100

11018481920 has 72 divisors (see below), whose sum is σ = 26417036184. Its totient is φ = 4403331072.

The previous prime is 11018481899. The next prime is 11018481941. The reversal of 11018481920 is 2918481011.

It is an interprime number because it is at equal distance from previous prime (11018481899) and next prime (11018481941).

It can be written as a sum of positive squares in 4 ways, for example, as 1329623296 + 9688858624 = 36464^2 + 98432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1656842 + ... + 1663478.

Almost surely, 211018481920 is an apocalyptic number.

11018481920 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 11018481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208518092).

11018481920 is an abundant number, since it is smaller than the sum of its proper divisors (15398554264).

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

11018481920 is an equidigital number, since it uses as much as digits as its factorization.

11018481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The spelling of 11018481920 in words is "eleven billion, eighteen million, four hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1297 2594 5188 6485 6637 10376 12970 13274 20752 25940 26548 33185 41504 51880 53096 66370 83008 103760 106192 132740 166016 207520 212384 265480 332032 415040 424768 530960 830080 849536 1061920 1660160 1699072 2123840 4247680 8495360 8608189 17216378 34432756 43040945 68865512 86081890 137731024 172163780 275462048 344327560 550924096 688655120 1101848192 1377310240 2203696384 2754620480 5509240960 11018481920