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12434325552 = 243611199487
BaseRepresentation
bin10111001010010010…
…01100000000110000
31012002120101012000000
423211021030000300
5200431141404202
65413502430000
7620064010665
oct134511140060
935076335000
1012434325552
115300941910
1224b0292300
131232133bac
1485d599a6c
154cb96491c
hex2e524c030

12434325552 has 280 divisors, whose sum is σ = 39683769600. Its totient is φ = 3741344640.

The previous prime is 12434325539. The next prime is 12434325569. The reversal of 12434325552 is 25552343421.

12434325552 is a `hidden beast` number, since 1 + 2 + 43 + 43 + 25 + 552 = 666.

It is a super-2 number, since 2×124343255522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25532253 + ... + 25532739.

Almost surely, 212434325552 is an apocalyptic number.

12434325552 is a gapful number since it is divisible by the number (12) 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 12434325552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841884800).

12434325552 is an abundant number, since it is smaller than the sum of its proper divisors (27249444048).

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

12434325552 is a wasteful number, since it uses less digits than its factorization.

12434325552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 702 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 12434325552 its reverse (25552343421), we get a palindrome (37986668973).

The spelling of 12434325552 in words is "twelve billion, four hundred thirty-four million, three hundred twenty-five thousand, five hundred fifty-two".