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2041040822500 = 2254285732
BaseRepresentation
bin11101101100110111100…
…000110110000011100100
321020010021122101122112001
4131230313200312003210
5231420022422310000
64201350300135044
7300313615511551
oct35546740660344
97203248348461
102041040822500
11717667375209
1228b698537484
1311a614147b24
1470b03393a28
153815b05b46a
hex1db378360e4

2041040822500 has 45 divisors (see below), whose sum is σ = 4463504284701. Its totient is φ = 816387756000.

The previous prime is 2041040822479. The next prime is 2041040822503. The reversal of 2041040822500 is 52280401402.

The square root of 2041040822500 is 1428650.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1923863317156 + 117177505344 = 1387034^2 + 342312^2 .

It is a super-2 number, since 2×20410408225002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2041040822503) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 71418214 + ... + 71446786.

Almost surely, 22041040822500 is an apocalyptic number.

2041040822500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2041040822500 is the 1428650-th square number.

It is an amenable number.

2041040822500 is an abundant number, since it is smaller than the sum of its proper divisors (2422463462201).

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

2041040822500 is an frugal number, since it uses more digits than its factorization.

2041040822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57170 (or 28580 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The spelling of 2041040822500 in words is "two trillion, forty-one billion, forty million, eight hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 28573 57146 114292 142865 285730 571460 714325 1428650 2857300 3571625 7143250 14286500 17858125 35716250 71432500 816416329 1632832658 3265665316 4082081645 8164163290 16328326580 20410408225 40820816450 81641632900 102052041125 204104082250 408208164500 510260205625 1020520411250 2041040822500