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27103036900 = 225210121632
BaseRepresentation
bin11001001111011101…
…111000010111100100
32120221212010221002111
4121033131320113210
5421001334140100
620241224050404
71646432004202
oct311735702744
976855127074
1027103036900
1110548a59855
125304903a04
13272c148754
1414517c4072
15a896396ba
hex64f7785e4

27103036900 has 81 divisors (see below), whose sum is σ = 59768331483. Its totient is φ = 10668024000.

The previous prime is 27103036889. The next prime is 27103036901. The reversal of 27103036900 is 963030172.

The square root of 27103036900 is 164630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5004430564 + 22098606336 = 70742^2 + 148656^2 .

It is a super-2 number, since 2×271030369002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27103036901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166276219 + ... + 166276381.

Almost surely, 227103036900 is an apocalyptic number.

27103036900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27103036900 is the 164630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27103036900

27103036900 is an abundant number, since it is smaller than the sum of its proper divisors (32665294583).

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

27103036900 is a wasteful number, since it uses less digits than its factorization.

27103036900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The spelling of 27103036900 in words is "twenty-seven billion, one hundred three million, thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 163 202 326 404 505 652 815 1010 1630 2020 2525 3260 4075 5050 8150 10100 10201 16300 16463 20402 26569 32926 40804 51005 53138 65852 82315 102010 106276 132845 164630 204020 255025 265690 329260 411575 510050 531380 664225 823150 1020100 1328450 1646300 1662763 2656900 2683469 3325526 5366938 6651052 8313815 10733876 13417345 16627630 26834690 33255260 41569075 53669380 67086725 83138150 134173450 166276300 268346900 271030369 542060738 1084121476 1355151845 2710303690 5420607380 6775759225 13551518450 27103036900