Search a number
-
+
2045014202511 = 327311047114287
BaseRepresentation
bin11101110000100100010…
…110000101100010001111
321020111112120000021012200
4131300210112011202033
5232001142113440021
64203244435332543
7300514233625050
oct35604426054217
97214476007180
102045014202511
11719316227445
12290407151153
1311aac83a8b67
1470d9cd78727
15382decc4126
hex1dc2458588f

2045014202511 has 24 divisors (see below), whose sum is σ = 3484796350464. Its totient is φ = 1130883428880.

The previous prime is 2045014202467. The next prime is 2045014202537. The reversal of 2045014202511 is 1152024105402.

It is a happy number.

2045014202511 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 0 + 142 + 0 + 2 + 511 = 666.

It is not a de Polignac number, because 2045014202511 - 215 = 2045014169743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045014202111) 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 23 ways as a sum of consecutive naturals, for example, 523555191 + ... + 523559096.

It is an arithmetic number, because the mean of its divisors is an integer number (145199847936).

Almost surely, 22045014202511 is an apocalyptic number.

2045014202511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2045014202511 is a deficient number, since it is larger than the sum of its proper divisors (1439782147953).

2045014202511 is a wasteful number, since it uses less digits than its factorization.

2045014202511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047114331 (or 1047114328 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 2045014202511 its reverse (1152024105402), we get a palindrome (3197038307913).

The spelling of 2045014202511 in words is "two trillion, forty-five billion, fourteen million, two hundred two thousand, five hundred eleven".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 1047114287 3141342861 7329800009 9424028583 21989400027 32460542897 65968200081 97381628691 227223800279 292144886073 681671400837 2045014202511