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20385461130756 = 22347181199693009
BaseRepresentation
bin1001010001010010111000…
…01010110101011000000100
32200011211102211120210102220
410220221130022311120010
510132443411022141011
6111204541311532340
74202541505412001
oct450513412653004
980154384523386
1020385461130756
11654a4753a6817
122352a0982a0b0
13b4b45779c167
145069395548a8
152554151a6506
hex128a5c2b5604

20385461130756 has 48 divisors (see below), whose sum is σ = 48846507790080. Its totient is φ = 6613832424960.

The previous prime is 20385461130751. The next prime is 20385461130779. The reversal of 20385461130756 is 65703116458302.

It is a junction number, because it is equal to n+sod(n) for n = 20385461130699 and 20385461130708.

It is not an unprimeable number, because it can be changed into a prime (20385461130751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99744421 + ... + 99948588.

It is an arithmetic number, because the mean of its divisors is an integer number (1017635578960).

Almost surely, 220385461130756 is an apocalyptic number.

It is an amenable number.

20385461130756 is an abundant number, since it is smaller than the sum of its proper divisors (28461046659324).

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

20385461130756 is a wasteful number, since it uses less digits than its factorization.

20385461130756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199693244 (or 199693242 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 20385461130756 in words is "twenty trillion, three hundred eighty-five billion, four hundred sixty-one million, one hundred thirty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 47 94 141 181 188 282 362 543 564 724 1086 2172 8507 17014 25521 34028 51042 102084 199693009 399386018 599079027 798772036 1198158054 2396316108 9385571423 18771142846 28156714269 36144434629 37542285692 56313428538 72288869258 108433303887 112626857076 144577738516 216866607774 433733215548 1698788427563 3397576855126 5096365282689 6795153710252 10192730565378 20385461130756