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12355371150 = 23522337151641
BaseRepresentation
bin10111000000111000…
…00000000010001110
31011220001210212220220
423200130000002032
5200300433334100
65402002252210
7615114631143
oct134034000216
934801725826
1012355371150
115270315241
122489957066
13121b97b705
14852cc63ca
154c4a6aaa0
hex2e070008e

12355371150 has 192 divisors, whose sum is σ = 33106738176. Its totient is φ = 3041280000.

The previous prime is 12355371143. The next prime is 12355371151. The reversal of 12355371150 is 5117355321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355371151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19274830 + ... + 19275470.

It is an arithmetic number, because the mean of its divisors is an integer number (172430928).

Almost surely, 212355371150 is an apocalyptic number.

12355371150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12355371150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16553369088).

12355371150 is an abundant number, since it is smaller than the sum of its proper divisors (20751367026).

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

12355371150 is a wasteful number, since it uses less digits than its factorization.

12355371150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The spelling of 12355371150 in words is "twelve billion, three hundred fifty-five million, three hundred seventy-one thousand, one hundred fifty".