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12543320664 = 2333731723433
BaseRepresentation
bin10111010111010001…
…11110001001011000
31012101011110201012000
423223220332021120
5201142042230124
65432354521000
7622556316000
oct135350761130
935334421160
1012543320664
115357417516
122520896160
13124b8a6a44
1486dc4d000
154d62e46c9
hex2eba3e258

12543320664 has 512 divisors, whose sum is σ = 44997120000. Its totient is φ = 3218890752.

The previous prime is 12543320659. The next prime is 12543320689. The reversal of 12543320664 is 46602334521.

12543320664 is a `hidden beast` number, since 12 + 5 + 433 + 206 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28968192 + ... + 28968624.

It is an arithmetic number, because the mean of its divisors is an integer number (87885000).

Almost surely, 212543320664 is an apocalyptic number.

12543320664 is a gapful number since it is divisible by the number (14) 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 12543320664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560000).

12543320664 is an abundant number, since it is smaller than the sum of its proper divisors (32453799336).

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

12543320664 is a wasteful number, since it uses less digits than its factorization.

12543320664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 12543320664 in words is "twelve billion, five hundred forty-three million, three hundred twenty thousand, six hundred sixty-four".