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2108797708900 = 225219276432
BaseRepresentation
bin11110101011111110001…
…000110110101001100100
321110121011201221010000011
4132223332020312221210
5234022304203141100
64252433541300004
7305232654525451
oct36537610665144
97417151833004
102108797708900
1174337736a893
122a0848104604
13123b2194700c
14740d0108828
1539cc4785bba
hex1eafe236a64

2108797708900 has 81 divisors (see below), whose sum is σ = 4830246059961. Its totient is φ = 799018786080.

The previous prime is 2108797708883. The next prime is 2108797708909. The reversal of 2108797708900 is 98077978012.

The square root of 2108797708900 is 1452170.

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

It can be written as a sum of positive squares in only one way, i.e., 759167175204 + 1349630533696 = 871302^2 + 1161736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2108797708909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275908479 + ... + 275916121.

Almost surely, 22108797708900 is an apocalyptic number.

2108797708900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2108797708900 is the 1452170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2108797708900

2108797708900 is an abundant number, since it is smaller than the sum of its proper divisors (2721448351061).

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

2108797708900 is an frugal number, since it uses more digits than its factorization.

2108797708900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15338 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 58.

The spelling of 2108797708900 in words is "two trillion, one hundred eight billion, seven hundred ninety-seven million, seven hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 3610 7220 7643 9025 15286 18050 30572 36100 38215 76430 145217 152860 191075 290434 382150 580868 726085 764300 1452170 2759123 2904340 3630425 5518246 7260850 11036492 13795615 14521700 27591230 55182460 58415449 68978075 116830898 137956150 233661796 275912300 292077245 584154490 1109893531 1168308980 1460386225 2219787062 2920772450 4439574124 5549467655 5841544900 11098935310 21087977089 22197870620 27747338275 42175954178 55494676550 84351908356 105439885445 110989353100 210879770890 421759541780 527199427225 1054398854450 2108797708900