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12463420200 = 233527111012671
BaseRepresentation
bin10111001101110000…
…01011001100101000
31012011121010100100120
423212320023030220
5201011113421300
65420422203240
7620566216020
oct134670131450
935147110316
1012463420200
115316304080
1224b9b83520
13123817ca6a
148633b0a80
154ce2b03a0
hex2e6e0b328

12463420200 has 384 divisors, whose sum is σ = 48665456640. Its totient is φ = 2563200000.

The previous prime is 12463420157. The next prime is 12463420201. The reversal of 12463420200 is 202436421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12463420201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4664865 + ... + 4667535.

It is an arithmetic number, because the mean of its divisors is an integer number (126732960).

Almost surely, 212463420200 is an apocalyptic number.

12463420200 is a gapful number since it is divisible by the number (10) 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 12463420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24332728320).

12463420200 is an abundant number, since it is smaller than the sum of its proper divisors (36202036440).

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

12463420200 is a wasteful number, since it uses less digits than its factorization.

12463420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12463420200 its reverse (202436421), we get a palindrome (12665856621).

The spelling of 12463420200 in words is "twelve billion, four hundred sixty-three million, four hundred twenty thousand, two hundred".