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23184144420090 = 2356732569481
BaseRepresentation
bin1010100010101111110101…
…01100010100110011111010
310001002101022212221112220220
411101113322230110303322
511014322111432420330
6121150352055400510
74611666466022343
oct521277254246372
9101071285845826
1023184144420090
117429382130065
1227252ab083136
13cc2342273a54
145a21935390ca
152a3115a84710
hex1515fab14cfa

23184144420090 has 64 divisors (see below), whose sum is σ = 56485025585280. Its totient is φ = 6090160940160.

The previous prime is 23184144420079. The next prime is 23184144420091. The reversal of 23184144420090 is 9002444148132.

It is not an unprimeable number, because it can be changed into a prime (23184144420091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7738150 + ... + 10307630.

It is an arithmetic number, because the mean of its divisors is an integer number (882578524770).

Almost surely, 223184144420090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23184144420090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28242512792640).

23184144420090 is an abundant number, since it is smaller than the sum of its proper divisors (33300881165190).

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

23184144420090 is an frugal number, since it uses more digits than its factorization.

23184144420090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569692 (or 2569558 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 23184144420090 in words is "twenty-three trillion, one hundred eighty-four billion, one hundred forty-four million, four hundred twenty thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 2010 4489 8978 13467 22445 26934 44890 67335 134670 300763 601526 902289 1503815 1804578 2569481 3007630 4511445 5138962 7708443 9022890 12847405 15416886 25694810 38542215 77084430 172155227 344310454 516465681 860776135 1032931362 1721552270 2582328405 5164656810 11534400209 23068800418 34603200627 57672001045 69206401254 115344002090 173016003135 346032006270 772804814003 1545609628006 2318414442009 3864024070015 4636828884018 7728048140030 11592072210045 23184144420090