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2013286912 = 2972136173
BaseRepresentation
bin111100000000000…
…0101001000000000
312012022100120102221
41320000011020000
513110400140122
6531435420424
7100614441100
oct17000051000
95168316387
102013286912
119434a228a
124822b4714
1326114a040
14151557200
15bbb396c7
hex78005200

2013286912 has 120 divisors (see below), whose sum is σ = 5040169596. Its totient is φ = 796336128.

The previous prime is 2013286907. The next prime is 2013286937. The reversal of 2013286912 is 2196823102.

It can be written as a sum of positive squares in 2 ways, for example, as 1475789056 + 537497856 = 38416^2 + 23184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323058 + ... + 329230.

Almost surely, 22013286912 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 2013286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520084798).

2013286912 is an abundant number, since it is smaller than the sum of its proper divisors (3026882684).

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

2013286912 is an equidigital number, since it uses as much as digits as its factorization.

2013286912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6218 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 2013286912 is about 44869.6658333890. The cubic root of 2013286912 is about 1262.7049707006.

The spelling of 2013286912 in words is "two billion, thirteen million, two hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 5096 5824 6173 6272 6656 10192 11648 12346 12544 20384 23296 24692 25088 40768 43211 46592 49384 80249 81536 86422 98768 160498 163072 172844 197536 302477 320996 326144 345688 395072 561743 604954 641992 691376 790144 1123486 1209908 1283984 1382752 1580288 2246972 2419816 2567968 2765504 3160576 3932201 4493944 4839632 5135936 5531008 7864402 8987888 9679264 10271872 11062016 15728804 17975776 19358528 20543744 22124032 31457608 35951552 38717056 41087488 62915216 71903104 77434112 125830432 143806208 154868224 251660864 287612416 503321728 1006643456 2013286912