Search a number
-
+
20086461651690 = 23257210742567787
BaseRepresentation
bin1001001000100101111100…
…11010010101101011101010
32122010020200001022111101200
410210102332122111223222
510113044033140323230
6110415332035225030
74142125146650100
oct444227632255352
978106601274350
1020086461651690
116444690a49725
122304a83448176
13b291b7030895
144d6293257c70
1524c76577d160
hex1244be695aea

20086461651690 has 144 divisors (see below), whose sum is σ = 61319068885152. Its totient is φ = 4548282798528.

The previous prime is 20086461651653. The next prime is 20086461651719. The reversal of 20086461651690 is 9615616468002.

20086461651690 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 6 + 4 + 616 + 5 + 16 + 9 + 0 = 666.

It is a super-2 number, since 2×200864616516902 (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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20812024 + ... + 21755763.

It is an arithmetic number, because the mean of its divisors is an integer number (425826867258).

Almost surely, 220086461651690 is an apocalyptic number.

20086461651690 is an abundant number, since it is smaller than the sum of its proper divisors (41232607233462).

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

20086461651690 is a wasteful number, since it uses less digits than its factorization.

20086461651690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42567921 (or 42567911 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 20086461651690 in words is "twenty trillion, eighty-six billion, four hundred sixty-one million, six hundred fifty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 107 126 147 210 214 245 294 315 321 441 490 535 630 642 735 749 882 963 1070 1470 1498 1605 1926 2205 2247 3210 3745 4410 4494 4815 5243 6741 7490 9630 10486 11235 13482 15729 22470 26215 31458 33705 47187 52430 67410 78645 94374 157290 235935 471870 42567787 85135574 127703361 212838935 255406722 297974509 383110083 425677870 595949018 638516805 766220166 893923527 1277033610 1489872545 1787847054 1915550415 2085821563 2681770581 2979745090 3831100830 4171643126 4469617635 4554753209 5363541162 6257464689 8939235270 9109506418 10429107815 12514929378 13408852905 13664259627 18772394067 20858215630 22773766045 26817705810 27328519254 31287323445 31883272463 37544788134 40992778881 45547532090 62574646890 63766544926 68321298135 81985557762 93861970335 95649817389 136642596270 159416362315 187723940670 191299634778 204963894405 223182907241 286949452167 318832724630 409927788810 446365814482 478249086945 573898904334 669548721723 956498173890 1115914536205 1339097443446 1434747260835 2008646165169 2231829072410 2869494521670 3347743608615 4017292330338 6695487217230 10043230825845 20086461651690