Search a number
-
+
2041120391769 = 33615035214729
BaseRepresentation
bin11101101100111100010…
…000011000001001011001
321020010111012010012001000
4131230330100120021121
5231420203310014034
64201402221415213
7300315603032124
oct35547420301131
97203435105030
102041120391769
117176a8281838
1228b6bb10a509
1311a627787134
1470b0db873bb
1538163027599
hex1db3c418259

2041120391769 has 64 divisors (see below), whose sum is σ = 3086127475200. Its totient is φ = 1332932889600.

The previous prime is 2041120391747. The next prime is 2041120391777. The reversal of 2041120391769 is 9671930211402.

2041120391769 is a `hidden beast` number, since 20 + 411 + 203 + 9 + 1 + 7 + 6 + 9 = 666.

It is not a de Polignac number, because 2041120391769 - 219 = 2041119867481 is a prime.

It is a super-2 number, since 2×20411203917692 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2041120391719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431615397 + ... + 431620125.

It is an arithmetic number, because the mean of its divisors is an integer number (48220741800).

Almost surely, 22041120391769 is an apocalyptic number.

It is an amenable number.

2041120391769 is a deficient number, since it is larger than the sum of its proper divisors (1045007083431).

2041120391769 is a wasteful number, since it uses less digits than its factorization.

2041120391769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 2041120391769 in words is "two trillion, forty-one billion, one hundred twenty million, three hundred ninety-one thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 61 183 503 521 549 1509 1563 1647 4527 4689 4729 13581 14067 14187 30683 31781 42561 92049 95343 127683 262063 276147 286029 288469 786189 828441 858087 865407 2358567 2378687 2463809 2596221 7075701 7136061 7391427 7788663 15985843 21408183 22174281 47957529 64224549 66522843 143872587 145099907 150292349 431617761 435299721 450877047 1239295927 1305899163 1352631141 3717887781 3917697489 4057893423 11153663343 33460990029 75597051547 226791154641 680373463923 2041120391769