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5185637145 = 335135961821
BaseRepresentation
bin1001101010001011…
…01000101100011001
3111101101200122212000
410311011220230121
541110010342040
62214322111213
7242335121433
oct46505505431
914341618760
105185637145
11222117aa37
1210087ab509
13648457560
143729c5653
152053c5130
hex135168b19

5185637145 has 128 divisors (see below), whose sum is σ = 10274342400. Its totient is φ = 2465510400.

The previous prime is 5185637131. The next prime is 5185637161. The reversal of 5185637145 is 5417365815.

5185637145 is a `hidden beast` number, since 5 + 1 + 8 + 5 + 637 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 5185637145 - 24 = 5185637129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5185637145.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6315835 + ... + 6316655.

It is an arithmetic number, because the mean of its divisors is an integer number (80268300).

Almost surely, 25185637145 is an apocalyptic number.

It is an amenable number.

5185637145 is a deficient number, since it is larger than the sum of its proper divisors (5088705255).

5185637145 is a wasteful number, since it uses less digits than its factorization.

5185637145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 5185637145 is about 72011.3681650335. The cubic root of 5185637145 is about 1730.8816543656.

The spelling of 5185637145 in words is "five billion, one hundred eighty-five million, six hundred thirty-seven thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 59 61 65 117 135 177 183 195 295 305 351 531 549 585 767 793 821 885 915 1593 1647 1755 2301 2379 2463 2655 2745 3599 3835 3965 4105 6903 7137 7389 7965 8235 10673 10797 11505 11895 12315 17995 20709 21411 22167 32019 32391 34515 35685 36945 46787 48439 50081 53365 53985 96057 97173 103545 107055 110835 140361 145317 150243 160095 161955 233935 242195 250405 288171 421083 435951 450729 480285 485865 629707 651053 701805 726585 751215 1263249 1307853 1352187 1440855 1889121 1953159 2105415 2179755 2253645 2954779 3148535 3255265 5667363 5859477 6316245 6539265 6760935 8864337 9445605 9765795 14773895 17002089 17578431 26593011 28336815 29297385 38412127 44321685 79779033 85010445 87892155 115236381 132965055 192060635 345709143 398895165 576181905 1037127429 1728545715 5185637145