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BaseRepresentation
bin110100101010100111111100…
…010000111100011111010000
31010101010101010101010101010101
4310222213330100330133100
5220324441132020401410
62140344114303542144
766534351651300541
oct6452477420743720
91111111111111111
10231627523606480
1167892754616801
1221b8ab70bba954
139c324c6933931
14412ab90c7c4c8
151bba26b95ed3a
hexd2a9fc43c7d0

231627523606480 has 160 divisors (see below), whose sum is σ = 587146639772448. Its totient is φ = 84633295257600.

The previous prime is 231627523606397. The next prime is 231627523606487. The reversal of 231627523606480 is 84606325726132.

It is a happy number.

231627523606480 is nontrivially palindromic in base 3 and base 9.

231627523606480 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

231627523606480 is a nontrivial binomial coefficient, being equal to C(21523361, 2).

It can be written as a sum of positive squares in 16 ways, for example, as 188725390405696 + 42902133200784 = 13737736^2 + 6549972^2 .

231627523606480 is an undulating number in base 3.

231627523606480 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231627523606487) by changing a digit.

It is a nontrivial repunit in base 9.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1 + ... + 21523360.

Almost surely, 2231627523606480 is an apocalyptic number.

231627523606480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

231627523606480 is the 21523360-th triangular number.

231627523606480 is the 7174454-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231627523606480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293573319886224).

231627523606480 is an abundant number, since it is smaller than the sum of its proper divisors (355519116165968).

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

231627523606480 is a wasteful number, since it uses less digits than its factorization.

231627523606480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21523625 (or 21523619 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 231627523606480 in words is "two hundred thirty-one trillion, six hundred twenty-seven billion, five hundred twenty-three million, six hundred six thousand, four hundred eighty".