Search a number
-
+
486220271688 = 233237222212
BaseRepresentation
bin1110001001101001111…
…11001001000001001000
31201111000112012222121200
413010310333021001020
530431234342143223
61011211055504200
750061664055334
oct7046477110110
91644015188550
10486220271688
11178228738688
127a296228060
1336b09373198
14197670c87c4
15c9ab010a43
hex7134fc9048

486220271688 has 108 divisors (see below), whose sum is σ = 1354008559995. Its totient is φ = 157622060160.

The previous prime is 486220271687. The next prime is 486220271717. The reversal of 486220271688 is 886172022684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

486220271688 is a `hidden beast` number, since 4 + 8 + 622 + 0 + 2 + 7 + 1 + 6 + 8 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 475628156964 + 10592114724 = 689658^2 + 102918^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=493062.

It is not an unprimeable number, because it can be changed into a prime (486220271687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 218918418 + ... + 218920638.

Almost surely, 2486220271688 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 486220271688

486220271688 is an abundant number, since it is smaller than the sum of its proper divisors (867788288307).

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

486220271688 is an equidigital number, since it uses as much as digits as its factorization.

486220271688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 486220271688 in words is "four hundred eighty-six billion, two hundred twenty million, two hundred seventy-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 1369 2221 2664 2738 4107 4442 5476 6663 8214 8884 10952 12321 13326 16428 17768 19989 24642 26652 32856 39978 49284 53304 79956 82177 98568 159912 164354 246531 328708 493062 657416 739593 986124 1479186 1972248 2958372 3040549 4932841 5916744 6081098 9121647 9865682 12162196 14798523 18243294 19731364 24324392 27364941 29597046 36486588 39462728 44395569 54729882 59194092 72973176 88791138 109459764 118388184 177582276 182515117 218919528 355164552 365030234 547545351 730060468 1095090702 1460120936 1642636053 2190181404 3285272106 4380362808 6570544212 6753059329 13141088424 13506118658 20259177987 27012237316 40518355974 54024474632 60777533961 81036711948 121555067922 162073423896 243110135844 486220271688