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12410227368 = 23327113476451
BaseRepresentation
bin10111000111011010…
…10000101010101000
31012000220000212111200
423203231100222220
5200404004233433
65411242124200
7616352122620
oct134355205250
935026025450
1012410227368
115299282560
1224a41b0660
13122a147306
1485a2c5880
154c97a4613
hex2e3b50aa8

12410227368 has 192 divisors, whose sum is σ = 42031941120. Its totient is φ = 3213648000.

The previous prime is 12410227367. The next prime is 12410227451. The reversal of 12410227368 is 86372201421.

It is a happy number.

12410227368 is a `hidden beast` number, since 12 + 410 + 227 + 3 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12410227363) 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, 1920543 + ... + 1926993.

It is an arithmetic number, because the mean of its divisors is an integer number (218916360).

Almost surely, 212410227368 is an apocalyptic number.

12410227368 is a gapful number since it is divisible by the number (18) 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 12410227368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015970560).

12410227368 is an abundant number, since it is smaller than the sum of its proper divisors (29621713752).

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

12410227368 is a wasteful number, since it uses less digits than its factorization.

12410227368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 12410227368 its reverse (86372201421), we get a palindrome (98782428789).

It can be divided in two parts, 12410 and 227368, that added together give a triangular number (239778 = T692).

The spelling of 12410227368 in words is "twelve billion, four hundred ten million, two hundred twenty-seven thousand, three hundred sixty-eight".