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2942778995209 = 1721924721132
BaseRepresentation
bin101010110100101011010…
…010111111001000001001
3101102022211022212001110101
4222310223102333020021
5341203302410321314
610131521034445401
7422415543512164
oct52645322771011
911368738761411
102942778995209
11a3503102a979
123b63b6893861
1318466ca573a1
14a260755aadb
1551835e7c174
hex2ad2b4bf209

2942778995209 has 81 divisors (see below), whose sum is σ = 3401041388277. Its totient is φ = 2545347990528.

The previous prime is 2942778995137. The next prime is 2942778995227. The reversal of 2942778995209 is 9025998772492.

The square root of 2942778995209 is 1715453.

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

2942778995209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 359044235209 + 2583734760000 = 599203^2 + 1607400^2 .

It is not a de Polignac number, because 2942778995209 - 215 = 2942778962441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2942778995249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26042291937 + ... + 26042292049.

Almost surely, 22942778995209 is an apocalyptic number.

2942778995209 is the 1715453-rd square number.

2942778995209 is the 857727-th centered octagonal number.

It is an amenable number.

2942778995209 is a deficient number, since it is larger than the sum of its proper divisors (458262393068).

2942778995209 is an equidigital number, since it uses as much as digits as its factorization.

2942778995209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 73.

The spelling of 2942778995209 in words is "two trillion, nine hundred forty-two billion, seven hundred seventy-eight million, nine hundred ninety-five thousand, two hundred nine".

Divisors: 1 17 19 47 113 289 323 361 799 893 1921 2147 2209 5311 5491 6137 12769 13583 15181 16967 32657 36499 37553 40793 41971 90287 100909 104329 217073 242611 249617 258077 288439 600143 620483 638401 693481 713507 797449 1534879 1715453 1917271 3690241 4124387 4243489 4609609 4742723 4903463 10202431 11402717 11789177 12129619 13556633 28206721 29162701 32593607 70114579 72139313 78363353 80626291 90111737 173441327 193846189 216651623 230462761 479514257 535927699 554091319 1332177001 1370646947 1531899529 3295385213 3683077591 8151742369 9110770883 10182626281 26042291993 62612319047 154883105011 173104646777 2942778995209