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51852585132 = 22351910127799
BaseRepresentation
bin110000010010101001…
…111010100010101100
311221211200210020200000
4300102221322202230
51322143230211012
635453140504300
73513645462405
oct602251724254
9157750706600
1051852585132
111aa99483747
12a0713ab090
134b74811a4a
14271c7b49ac
151537338ddc
hexc12a7a8ac

51852585132 has 144 divisors (see below), whose sum is σ = 144502176000. Its totient is φ = 16211793600.

The previous prime is 51852585131. The next prime is 51852585143. The reversal of 51852585132 is 23158525815.

51852585132 is a `hidden beast` number, since 5 + 1 + 8 + 52 + 585 + 13 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (51852585131) 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, 1851369 + ... + 1879167.

Almost surely, 251852585132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51852585132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72251088000).

51852585132 is an abundant number, since it is smaller than the sum of its proper divisors (92649590868).

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

51852585132 is a wasteful number, since it uses less digits than its factorization.

51852585132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27938 (or 27924 counting only the distinct ones).

The product of its digits is 480000, while the sum is 45.

The spelling of 51852585132 in words is "fifty-one billion, eight hundred fifty-two million, five hundred eighty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 101 108 114 162 171 202 228 243 303 324 342 404 486 513 606 684 909 972 1026 1212 1539 1818 1919 2052 2727 3078 3636 3838 4617 5454 5757 6156 7676 8181 9234 10908 11514 16362 17271 18468 23028 24543 27799 32724 34542 49086 51813 55598 69084 83397 98172 103626 111196 155439 166794 207252 250191 310878 333588 466317 500382 528181 621756 750573 932634 1000764 1056362 1501146 1584543 1865268 2112724 2251719 2807699 3002292 3169086 4503438 4753629 5615398 6338172 6755157 8423097 9006876 9507258 11230796 13510314 14260887 16846194 19014516 25269291 27020628 28521774 33692388 42782661 50538582 53346281 57043548 75807873 85565322 101077164 106692562 128347983 151615746 160038843 171130644 213385124 227423619 256695966 303231492 320077686 454847238 480116529 513391932 640155372 682270857 909694476 960233058 1364541714 1440349587 1920466116 2729083428 2880699174 4321048761 5761398348 8642097522 12963146283 17284195044 25926292566 51852585132