Search a number
-
+
7855483601349 = 34349613453317
BaseRepresentation
bin111001001001111111101…
…0011110100000111000101
31000210222101011021200220000
41302103333103310013011
52012201012300220344
624412432004031513
71440353130620016
oct162237723640705
930728334250800
107855483601349
112559545778a2a
12a6a541692599
1344c9cc436537
141d22c92b700d
15d95149b6a69
hex724ff4f41c5

7855483601349 has 40 divisors (see below), whose sum is σ = 11787582622200. Its totient is φ = 5213453134464.

The previous prime is 7855483601347. The next prime is 7855483601359. The reversal of 7855483601349 is 9431063845587.

7855483601349 is a `hidden beast` number, since 7 + 8 + 5 + 548 + 36 + 0 + 13 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 415518184449 + 7439965416900 = 644607^2 + 2727630^2 .

It is not a de Polignac number, because 7855483601349 - 21 = 7855483601347 is a prime.

It is a super-2 number, since 2×78554836013492 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7855483601347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17102239 + ... + 17555555.

It is an arithmetic number, because the mean of its divisors is an integer number (294689565555).

Almost surely, 27855483601349 is an apocalyptic number.

It is an amenable number.

7855483601349 is a deficient number, since it is larger than the sum of its proper divisors (3932099020851).

7855483601349 is a wasteful number, since it uses less digits than its factorization.

7855483601349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454291 (or 454282 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 7855483601349 in words is "seven trillion, eight hundred fifty-five billion, four hundred eighty-three million, six hundred one thousand, three hundred forty-nine".

Divisors: 1 3 9 27 81 349 613 1047 1839 3141 5517 9423 16551 28269 49653 213937 453317 641811 1359951 1925433 4079853 5776299 12239559 17328897 36718677 158207633 277883321 474622899 833649963 1423868697 2500949889 4271606091 7502849667 12814818273 22508549001 96981279029 290943837087 872831511261 2618494533783 7855483601349