Search a number
-
+
20667080914965 = 3352931971755553
BaseRepresentation
bin1001011001011111011100…
…00001000011100000010101
32201011202100101220010011000
410230233232001003200111
510202102140203234330
6111542154221133513
74232101350160362
oct454575601034025
981152311803130
1020667080914965
116648950428931
1223995036ba299
13b6bb88695024
14516413575469
1525c8e8e05560
hex12cbee043815

20667080914965 has 128 divisors (see below), whose sum is σ = 39639004876800. Its totient is φ = 10192875356160.

The previous prime is 20667080914939. The next prime is 20667080915077. The reversal of 20667080914965 is 56941908076602.

20667080914965 is a `hidden beast` number, since 2 + 0 + 6 + 67 + 0 + 80 + 9 + 1 + 496 + 5 = 666.

It is not a de Polignac number, because 20667080914965 - 211 = 20667080912917 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10894629 + ... + 12650181.

It is an arithmetic number, because the mean of its divisors is an integer number (309679725600).

Almost surely, 220667080914965 is an apocalyptic number.

It is an amenable number.

20667080914965 is a deficient number, since it is larger than the sum of its proper divisors (18971923961835).

20667080914965 is a wasteful number, since it uses less digits than its factorization.

20667080914965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755724 (or 1755718 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 20667080914965 in words is "twenty trillion, six hundred sixty-seven billion, eighty million, nine hundred fourteen thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 29 31 45 87 93 97 135 145 155 261 279 291 435 465 485 783 837 873 899 1305 1395 1455 2619 2697 2813 3007 3915 4185 4365 4495 8091 8439 9021 13095 13485 14065 15035 24273 25317 27063 40455 42195 45105 75951 81189 87203 121365 126585 135315 261609 379755 405945 436015 784827 1308045 1755553 2354481 3924135 5266659 8777765 11772405 15799977 26333295 47399931 50911037 54422143 78999885 152733111 163266429 170288641 236999655 254555185 272110715 458199333 489799287 510865923 763665555 816332145 851443205 1374597999 1469397861 1532597769 1578242147 2290996665 2448996435 2554329615 4597793307 4734726441 4938370589 5278947871 6872989995 7346989305 7662988845 7891210735 14204179323 14815111767 15836843613 22988966535 23673632205 24691852945 26394739355 42612537969 44445335301 47510530839 71020896615 74075558835 79184218065 133336005903 142531592517 153089488259 213062689845 222226676505 237552654195 459268464777 666680029515 712657962585 765447441295 1377805394331 2296342323885 4133416182993 6889026971655 20667080914965