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4517540055 = 3257223281317
BaseRepresentation
bin1000011010100010…
…00011000011010111
3102122211112210221100
410031101003003113
533222442240210
62024134321143
7216643312500
oct41521030327
912584483840
104517540055
111a09040786
12a60ab91b3
1356cc08332
1430bd93ba7
151b69055c0
hex10d4430d7

4517540055 has 144 divisors (see below), whose sum is σ = 9568787904. Its totient is φ = 1962132480.

The previous prime is 4517540017. The next prime is 4517540077. The reversal of 4517540055 is 5500457154.

It is not a de Polignac number, because 4517540055 - 27 = 4517539927 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14250757 + ... + 14251073.

It is an arithmetic number, because the mean of its divisors is an integer number (66449916).

Almost surely, 24517540055 is an apocalyptic number.

4517540055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4517540055 is an abundant number, since it is smaller than the sum of its proper divisors (5051247849).

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

4517540055 is a wasteful number, since it uses less digits than its factorization.

4517540055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The square root of 4517540055 is about 67212.6480284775. The cubic root of 4517540055 is about 1653.1058800013.

The spelling of 4517540055 in words is "four billion, five hundred seventeen million, five hundred forty thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 245 281 315 317 345 441 483 735 805 843 951 1035 1127 1405 1449 1585 1967 2205 2219 2415 2529 2853 3381 4215 4755 5635 5901 6463 6657 7245 7291 9835 10143 11095 12645 13769 14265 15533 16905 17703 19389 19971 21873 29505 32315 33285 36455 41307 45241 46599 50715 51037 58167 65619 68845 77665 88515 89077 96945 99855 109365 123921 135723 139797 153111 206535 226205 232995 255185 267231 290835 316687 328095 357259 407169 445385 459333 619605 623539 678615 698985 765555 801693 950061 1071777 1336155 1583435 1786295 1870617 2035845 2048771 2296665 2850183 3117695 3215331 4008465 4364773 4750305 5358885 5611851 6146313 9353085 10243855 13094319 14250915 14341397 16076655 18438939 21823865 28059255 30731565 39282957 43024191 65471595 71706985 92194695 100389779 129072573 196414785 215120955 301169337 501948895 645362865 903508011 1505846685 4517540055