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23327400472332 = 223113757711717069
BaseRepresentation
bin1010100110111010101010…
…11010110010111100001100
310001121002002122111000122120
411103131111122302330030
511024144004010103312
6121340243154012540
74625230505254335
oct523352532627414
9101532078430576
1023327400472332
117484105471470
12274900b277150
1310029c259b678
145a90a338328c
152a6bec57728c
hex1537556b2f0c

23327400472332 has 192 divisors, whose sum is σ = 61150179740160. Its totient is φ = 6859103846400.

The previous prime is 23327400472319. The next prime is 23327400472349.

23327400472332 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×233274004723323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3299954094 + ... + 3299961162.

It is an arithmetic number, because the mean of its divisors is an integer number (318490519480).

Almost surely, 223327400472332 is an apocalyptic number.

23327400472332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23327400472332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30575089870080).

23327400472332 is an abundant number, since it is smaller than the sum of its proper divisors (37822779267828).

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

23327400472332 is a wasteful number, since it uses less digits than its factorization.

23327400472332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8872 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 42.

It can be divided in two parts, 23327400 and 472332, that added together give a palindrome (23799732).

The spelling of 23327400472332 in words is "twenty-three trillion, three hundred twenty-seven billion, four hundred million, four hundred seventy-two thousand, three hundred thirty-two".