Search a number
-
+
2540510514045 = 325761132214963
BaseRepresentation
bin100100111110000010001…
…110100000101101111101
322222212111112201220022200
4210332002032200231331
5313110431142422140
65223032221102113
7351355135032360
oct44760216405575
98885445656280
102540510514045
1189a473a55059
1235044b9b7939
1315575245b2ca
148ad65db20d7
154614033b030
hex24f823a0b7d

2540510514045 has 48 divisors (see below), whose sum is σ = 5115132527232. Its totient is φ = 1142337271680.

The previous prime is 2540510514037. The next prime is 2540510514049. The reversal of 2540510514045 is 5404150150452.

2540510514045 is a `hidden beast` number, since 2 + 5 + 405 + 105 + 140 + 4 + 5 = 666.

2540510514045 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 2540510514045 - 23 = 2540510514037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540510514049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66088267 + ... + 66126696.

It is an arithmetic number, because the mean of its divisors is an integer number (106565260984).

Almost surely, 22540510514045 is an apocalyptic number.

It is an amenable number.

2540510514045 is an abundant number, since it is smaller than the sum of its proper divisors (2574622013187).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2540510514045 is a wasteful number, since it uses less digits than its factorization.

2540510514045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132215042 (or 132215039 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 2540510514045 its reverse (5404150150452), we get a palindrome (7944660664497).

The spelling of 2540510514045 in words is "two trillion, five hundred forty billion, five hundred ten million, five hundred fourteen thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 61 63 105 183 305 315 427 549 915 1281 2135 2745 3843 6405 19215 132214963 396644889 661074815 925504741 1189934667 1983224445 2776514223 4627523705 5949673335 8065112743 8329542669 13882571115 24195338229 40325563715 41647713345 56455789201 72586014687 120976691145 169367367603 282278946005 362930073435 508102102809 846836838015 2540510514045