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2109486093649 = 1122941572
BaseRepresentation
bin11110101100100111001…
…010110101010101010001
321110122221201020200100121
4132230213022311111101
5234030211414444044
64253030131550241
7305256013642204
oct36544712652521
97418851220317
102109486093649
1174369a9a6500
122a09ba75b381
13123c0144a57c
14741576db93b
1539d14e11984
hex1eb272b5551

2109486093649 has 45 divisors (see below), whose sum is σ = 2416895230071. Its totient is φ = 1839792995040.

The previous prime is 2109486093619. The next prime is 2109486093661. The reversal of 2109486093649 is 9463906849012.

The square root of 2109486093649 is 1452407.

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 1395576009025 + 713910084624 = 1181345^2 + 844932^2 .

It is a de Polignac number, because none of the positive numbers 2k-2109486093649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2109486093619) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13436217079 + ... + 13436217235.

Almost surely, 22109486093649 is an apocalyptic number.

2109486093649 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2109486093649 is the 1452407-th square number.

2109486093649 is the 726204-th centered octagonal number.

It is an amenable number.

2109486093649 is a deficient number, since it is larger than the sum of its proper divisors (307409136422).

2109486093649 is an frugal number, since it uses more digits than its factorization.

2109486093649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 2109486093649 in words is "two trillion, one hundred nine billion, four hundred eighty-six million, ninety-three thousand, six hundred forty-nine".

Divisors: 1 11 29 121 157 319 841 1727 3509 4553 9251 18997 24389 24649 50083 101761 132037 268279 271139 550913 707281 714821 1452407 2951069 2982529 3829073 7780091 7863031 15976477 20729809 42119803 85581001 86493341 111043117 228027899 463317833 601164461 1221474287 2508306889 6612809071 13436217157 17433769369 72740899781 191771463059 2109486093649