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12423462912 = 2163371759
BaseRepresentation
bin10111001000111111…
…10000000000000000
31012001210221022021000
423210133300000000
5200420401303122
65412433532000
7616602456330
oct134437600000
935053838230
1012423462912
1152a57a2623
1224a8714000
13122cacc7b3
1485bd6d0c0
154caa1b0ac
hex2e47f0000

12423462912 has 544 divisors, whose sum is σ = 45298137600. Its totient is φ = 3284140032.

The previous prime is 12423462899. The next prime is 12423462923. The reversal of 12423462912 is 21926432421.

It is a happy number.

12423462912 is a `hidden beast` number, since 1 + 2 + 4 + 23 + 4 + 629 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210567139 + ... + 210567197.

Almost surely, 212423462912 is an apocalyptic number.

12423462912 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 12423462912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649068800).

12423462912 is an abundant number, since it is smaller than the sum of its proper divisors (32874674688).

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

12423462912 is an frugal number, since it uses more digits than its factorization.

12423462912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 12423462912 in words is "twelve billion, four hundred twenty-three million, four hundred sixty-two thousand, nine hundred twelve".