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5144288149845 = 345131777374353
BaseRepresentation
bin100101011011011111101…
…1101111100000101010101
3200012210022021201120220000
41022312333131330011111
51133241000231243340
614535130420201513
71040443153541055
oct112667735740525
920183267646800
105144288149845
111703753605099
126b0bb7839299
132b4148186a20
1413adb06d5565
158dc34b35d30
hex4adbf77c155

5144288149845 has 160 divisors (see below), whose sum is σ = 10528886868192. Its totient is φ = 2380482183168.

The previous prime is 5144288149813. The next prime is 5144288149907. The reversal of 5144288149845 is 5489418824415.

5144288149845 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 28 + 81 + 498 + 45 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1888749965124 + 3255538184721 = 1374318^2 + 1804311^2 .

It is not a de Polignac number, because 5144288149845 - 25 = 5144288149813 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69150189 + ... + 69224541.

Almost surely, 25144288149845 is an apocalyptic number.

It is an amenable number.

5144288149845 is an abundant number, since it is smaller than the sum of its proper divisors (5384598718347).

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

5144288149845 is a wasteful number, since it uses less digits than its factorization.

5144288149845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75173 (or 75164 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 63.

The spelling of 5144288149845 in words is "five trillion, one hundred forty-four billion, two hundred eighty-eight million, one hundred forty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 255 351 405 459 585 663 765 773 1053 1105 1377 1755 1989 2295 2319 3315 3865 5265 5967 6885 6957 9945 10049 11595 13141 17901 20871 29835 30147 34785 39423 50245 62613 65705 74353 89505 90441 104355 118269 150735 170833 197115 223059 271323 313065 354807 371765 452205 512499 591345 669177 813969 854165 966589 1064421 1115295 1264001 1356615 1537497 1774035 2007531 2562495 2899767 3345885 3792003 4069845 4612491 4832945 5322105 6022593 6320005 7687485 8699301 10037655 11376009 13837473 14498835 16432013 18960015 23062455 26097903 30112965 34128027 43496505 49296039 56880045 57474869 69187365 78293709 82160065 102384081 130489515 147888117 170640135 172424607 246480195 287374345 391468545 443664351 511920405 517273821 739440585 747173297 862123035 977072773 1330993053 1551821463 2218321755 2241519891 2586369105 2931218319 3735866485 4655464389 4885363865 6654965265 6724559673 7759107315 8793654957 11207599455 12701946049 14656091595 20173679019 23277321945 26380964871 33622798365 38105838147 43968274785 60521037057 63509730245 79142894613 100868395095 114317514441 131904824355 190529190735 302605185285 342952543323 395714473065 571587572205 1028857629969 1714762716615 5144288149845