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12466272210 = 2357172192569
BaseRepresentation
bin10111001110000110…
…00011011111010010
31012011210111020120120
423213003003133102
5201012331202320
65421003251110
7620632364640
oct134703033722
935153436516
1012466272210
115317981907
1224bab19a96
13123893ac42
14863914190
154ce675440
hex2e70c37d2

12466272210 has 288 divisors, whose sum is σ = 38402605440. Its totient is φ = 2536206336.

The previous prime is 12466272187. The next prime is 12466272223. The reversal of 12466272210 is 1227266421.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21908806 + ... + 21909374.

It is an arithmetic number, because the mean of its divisors is an integer number (133342380).

Almost surely, 212466272210 is an apocalyptic number.

12466272210 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 12466272210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201302720).

12466272210 is an abundant number, since it is smaller than the sum of its proper divisors (25936333230).

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

12466272210 is a wasteful number, since it uses less digits than its factorization.

12466272210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 12466272210 in words is "twelve billion, four hundred sixty-six million, two hundred seventy-two thousand, two hundred ten".