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540516145406512 = 241122511112319617
BaseRepresentation
bin111101011100110001011100…
…0110101111010001000110000
32121212210211122112011000000111
41322321202320311322020300
51031321304031211002022
65153325404513231104
7221565000651550102
oct17271427065721060
92555724575130014
10540516145406512
11147252678945200
1250757797562494
131a27a5b90135a2
14976919a13b572
1542750ea8b7477
hex1eb98b8d7a230

540516145406512 has 60 divisors (see below), whose sum is σ = 1155695633823528. Its totient is φ = 244710315520000.

The previous prime is 540516145406509. The next prime is 540516145406513. The reversal of 540516145406512 is 215604541615045.

It is a super-2 number, since 2×5405161454065122 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540516145406513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555673873 + ... + 556645744.

Almost surely, 2540516145406512 is an apocalyptic number.

It is an amenable number.

540516145406512 is an abundant number, since it is smaller than the sum of its proper divisors (615179488417016).

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

540516145406512 is a wasteful number, since it uses less digits than its factorization.

540516145406512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112319898 (or 1112319881 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 49.

The spelling of 540516145406512 in words is "five hundred forty trillion, five hundred sixteen billion, one hundred forty-five million, four hundred six thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 251 484 502 968 1004 1936 2008 2761 4016 5522 11044 22088 30371 44176 60742 121484 242968 485936 1112319617 2224639234 4449278468 8898556936 12235515787 17797113872 24471031574 48942063148 97884126296 134590673657 195768252592 269181347314 279192223867 538362694628 558384447734 1076725389256 1116768895468 2153450778512 2233537790936 3071114462537 4467075581872 6142228925074 12284457850148 24568915700296 33782259087907 49137831400592 67564518175814 135129036351628 270258072703256 540516145406512