Search a number
-
+
220492790081109 = 32713616536758767
BaseRepresentation
bin110010001000100101111010…
…011011011010011001010101
31001220200220102122120110002200
4302020211322123122121111
5212400023213230043414
62100540553413155113
764305035613041310
oct6210457233323125
91056626378513080
10220492790081109
116428a515847027
1220890b9132ba99
1396054c4a69790
143c63c9d703977
151a757cbac6109
hexc8897a6da655

220492790081109 has 96 divisors (see below), whose sum is σ = 399023388201984. Its totient is φ = 114222063997440.

The previous prime is 220492790080957. The next prime is 220492790081111. The reversal of 220492790081109 is 901180097294022.

It is a happy number.

220492790081109 is a `hidden beast` number, since 2 + 2 + 0 + 492 + 79 + 0 + 0 + 81 + 1 + 0 + 9 = 666.

220492790081109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220492790081109 - 211 = 220492790079061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220492790081609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29243844 + ... + 36002610.

It is an arithmetic number, because the mean of its divisors is an integer number (4156493627104).

Almost surely, 2220492790081109 is an apocalyptic number.

It is an amenable number.

220492790081109 is a deficient number, since it is larger than the sum of its proper divisors (178530598120875).

220492790081109 is a wasteful number, since it uses less digits than its factorization.

220492790081109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6759507 (or 6759504 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 220492790081109 in words is "two hundred twenty trillion, four hundred ninety-two billion, seven hundred ninety million, eighty-one thousand, one hundred nine".

Divisors: 1 3 7 9 13 21 39 61 63 91 117 183 273 427 549 653 793 819 1281 1959 2379 3843 4571 5551 5877 7137 8489 13713 16653 25467 39833 41139 49959 59423 76401 119499 178269 278831 358497 517829 534807 836493 1553487 2509479 3624803 4660461 6758767 10874409 20276301 32623227 47311369 60828903 87863971 141934107 263591913 412284787 425802321 615047797 790775739 1236854361 1845143391 2885993509 3710563083 4413474851 5359702231 5535430173 8657980527 13240424553 16079106693 25973941581 30894323957 37517915617 39721273659 48237320079 57375173063 92682971871 112553746851 172125519189 269221965911 278048915613 337661240553 401626211441 516376557567 807665897733 1204878634323 1884553761377 2422997693199 3499885556843 3614635902969 5653661284131 10499656670529 16960983852393 24499198897901 31498970011587 73497596693703 220492790081109