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20006165345202 = 23241531015064193
BaseRepresentation
bin1001000110010000011000…
…11000001111001110110010
32121211120102001122111022100
410203020030120033032302
510110240111312021302
6110314412214521230
74133253266421141
oct443101430171662
977746361574270
1020006165345202
116413626861153
1222b13b4366216
13b2175b6c21aa
144d2436dcb758
1524a61627ed1c
hex12320c60f3b2

20006165345202 has 96 divisors (see below), whose sum is σ = 45689684944176. Its totient is φ = 6320111616000.

The previous prime is 20006165345129. The next prime is 20006165345227. The reversal of 20006165345202 is 20254356160002.

20006165345202 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 616 + 5 + 34 + 5 + 2 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17040953668761 + 2965211676441 = 4128069^2 + 1721979^2 .

It is a super-2 number, since 2×200061653452022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418418 + ... + 6482610.

Almost surely, 220006165345202 is an apocalyptic number.

20006165345202 is an abundant number, since it is smaller than the sum of its proper divisors (25683519598974).

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

20006165345202 is a wasteful number, since it uses less digits than its factorization.

20006165345202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064396 (or 5064393 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20006165345202 in words is "twenty trillion, six billion, one hundred sixty-five million, three hundred forty-five thousand, two hundred two".

Divisors: 1 2 3 6 9 18 41 53 82 101 106 123 159 202 246 303 318 369 477 606 738 909 954 1818 2173 4141 4346 5353 6519 8282 10706 12423 13038 16059 19557 24846 32118 37269 39114 48177 74538 96354 219473 438946 658419 1316838 1975257 3950514 5064193 10128386 15192579 30385158 45577737 91155474 207631913 268402229 415263826 511483493 536804458 622895739 805206687 1022966986 1245791478 1534450479 1610413374 1868687217 2415620061 3068900958 3737374434 4603351437 4831240122 9206702874 11004491389 20970823213 22008982778 27108625129 33013474167 41941646426 54217250258 62912469639 66026948334 81325875387 99040422501 125824939278 162651750774 188737408917 198080845002 243977626161 377474817834 487955252322 1111453630289 2222907260578 3334360890867 6668721781734 10003082672601 20006165345202