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540607763514 = 237132101754093
BaseRepresentation
bin1111101110111101011…
…10111101010000111010
31220200101212212211112210
413313132232331100322
532324131041413024
61052203552315550
754025523112420
oct7673656752072
91820355784483
10540607763514
111992a7a97235
1288934542bb6
133bc960b6800
141c2463d9110
15e0e0b6d129
hex7ddebbd43a

540607763514 has 96 divisors (see below), whose sum is σ = 1351288185984. Its totient is φ = 141166022400.

The previous prime is 540607763497. The next prime is 540607763519. The reversal of 540607763514 is 415367706045.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (540607763519) 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, 339852 + ... + 1093944.

It is an arithmetic number, because the mean of its divisors is an integer number (14075918604).

Almost surely, 2540607763514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540607763514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675644092992).

540607763514 is an abundant number, since it is smaller than the sum of its proper divisors (810680422470).

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

540607763514 is a wasteful number, since it uses less digits than its factorization.

540607763514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754232 (or 754219 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 540607763514 in words is "five hundred forty billion, six hundred seven million, seven hundred sixty-three thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 101 169 182 202 273 303 338 507 546 606 707 1014 1183 1313 1414 2121 2366 2626 3549 3939 4242 7098 7878 9191 17069 18382 27573 34138 51207 55146 102414 119483 238966 358449 716898 754093 1508186 2262279 4524558 5278651 9803209 10557302 15835953 19606418 29409627 31671906 58819254 68622463 76163393 127441717 137244926 152326786 205867389 228490179 254883434 382325151 411734778 456980358 533143751 764650302 892092019 990124109 1066287502 1599431253 1784184038 1980248218 2676276057 2970372327 3198862506 5352552114 5940744654 6930868763 12871613417 13861737526 20792606289 25743226834 38614840251 41585212578 77229680502 90101293919 180202587838 270303881757 540607763514