Search a number
-
+
20109655015641 = 3217223238232
BaseRepresentation
bin1001001001010001001001…
…10110000000000011011001
32122012110112102201110110100
410210220210312000003121
510113434033141000031
6110434125321410013
74143605666205012
oct444504466000331
978173472643410
1020109655015641
116453502aa9304
122309476939909
13b2b442192689
144d74536bc009
1524d171a35de6
hex124a24d800d9

20109655015641 has 81 divisors (see below), whose sum is σ = 32264806911519. Its totient is φ = 12066064762752.

The previous prime is 20109655015627. The next prime is 20109655015663. The reversal of 20109655015641 is 14651055690102.

The square root of 20109655015641 is 4484379.

It is a perfect power (a square), and thus also a powerful number.

20109655015641 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 9 + 6 + 550 + 1 + 56 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15656305808025 + 4453349207616 = 3956805^2 + 2110296^2 .

It is not a de Polignac number, because 20109655015641 - 25 = 20109655015609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20109655015441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5260174656 + ... + 5260178478.

Almost surely, 220109655015641 is an apocalyptic number.

20109655015641 is the 4484379-th square number.

20109655015641 is the 2242190-th centered octagonal number.

It is an amenable number.

20109655015641 is a deficient number, since it is larger than the sum of its proper divisors (12155151895878).

20109655015641 is an frugal number, since it uses more digits than its factorization.

20109655015641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 20109655015641 in words is "twenty trillion, one hundred nine billion, six hundred fifty-five million, fifteen thousand, six hundred forty-one".

Divisors: 1 3 9 17 23 51 69 153 207 289 391 529 867 1173 1587 2601 3519 3823 4761 6647 8993 11469 19941 26979 34407 59823 64991 80937 87929 152881 194973 263787 458643 584919 791361 1104847 1375929 1494793 2022367 3314541 4484379 6067101 9943623 13453137 14615329 18201303 25411481 34380239 43845987 76234443 103140717 131537961 228703329 248460593 309422151 336152567 584464063 745381779 1008457701 1753392189 2236145337 3025373103 4223830081 5260176567 5714593639 7731509041 12671490243 17143780917 23194527123 38014470729 51431342751 69583581369 97148091863 131435653697 291444275589 394306961091 874332826767 1182920883273 2234406112849 6703218338547 20109655015641