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23245433454232 = 2311318310329677
BaseRepresentation
bin1010100100100001111111…
…10011011011111010011000
310001022020112020002002002101
411102100333303123322120
511021323121431013412
6121234445452213144
74616266340146153
oct522207763337230
9101266466062071
1023245433454232
1174523731a55a0
12273515476a1b4
13cc805ba99822
145a5129296c9a
152a4a0155d457
hex15243fcdbe98

23245433454232 has 192 divisors, whose sum is σ = 50164731509760. Its totient is φ = 10002955910400.

The previous prime is 23245433454203. The next prime is 23245433454233.

23245433454232 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×232454334542323 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23245433454233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2402127378 + ... + 2402137054.

It is an arithmetic number, because the mean of its divisors is an integer number (261274643280).

Almost surely, 223245433454232 is an apocalyptic number.

23245433454232 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 23245433454232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25082365754880).

23245433454232 is an abundant number, since it is smaller than the sum of its proper divisors (26919298055528).

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

23245433454232 is a wasteful number, since it uses less digits than its factorization.

23245433454232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10014 (or 9907 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 46.

It can be divided in two parts, 2324543 and 3454232, that added together give a palindrome (5778775).

The spelling of 23245433454232 in words is "twenty-three trillion, two hundred forty-five billion, four hundred thirty-three million, four hundred fifty-four thousand, two hundred thirty-two".