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20953584508505 = 5112295651211339
BaseRepresentation
bin1001100001110101000101…
…11101100001111001011001
32202012010212022221122210012
410300322202331201321121
510221300420113233010
6112321535511331305
74261563233426165
oct460724275417131
982163768848705
1020953584508505
116749402218200
122424b41080b35
13b8cbb73276bc
1452623204dca5
152650b67a9005
hex130ea2f61e59

20953584508505 has 48 divisors (see below), whose sum is σ = 28596178699200. Its totient is φ = 14710815504000.

The previous prime is 20953584508481. The next prime is 20953584508511. The reversal of 20953584508505 is 50580548535902.

It is not a de Polignac number, because 20953584508505 - 222 = 20953580314201 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 99041126 + ... + 99252464.

It is an arithmetic number, because the mean of its divisors is an integer number (595753722900).

Almost surely, 220953584508505 is an apocalyptic number.

It is an amenable number.

20953584508505 is a deficient number, since it is larger than the sum of its proper divisors (7642594190695).

20953584508505 is a wasteful number, since it uses less digits than its factorization.

20953584508505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217046 (or 217035 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 59.

The spelling of 20953584508505 in words is "twenty trillion, nine hundred fifty-three billion, five hundred eighty-four million, five hundred eight thousand, five hundred five".

Divisors: 1 5 11 29 55 121 145 319 605 1595 3509 5651 17545 28255 62161 163879 211339 310805 683771 819395 1056695 1802669 2324729 3418855 6128831 9013345 11623645 19829359 25572019 30644155 67417141 99146795 127860095 337085705 741588551 1194276689 3707942755 5971383445 13137043579 34634023981 65685217895 144507479369 173170119905 380974263791 722537396845 1904871318955 4190716901701 20953584508505