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12332242237464 = 23324797139270287
BaseRepresentation
bin1011001101110101001011…
…1010101111100000011000
31121122221200011110111110200
42303131102322233200120
53104022413003044324
642121204234142200
72411655313310232
oct263352272574030
947587604414420
1012332242237464
113a25090273346
1214720a2b81960
136b5c052b2cc6
14308c52c7d252
15165bcaeb9ec9
hexb3752eaf818

12332242237464 has 192 divisors, whose sum is σ = 34710168729600. Its totient is φ = 3953146816512.

The previous prime is 12332242237433. The next prime is 12332242237487. The reversal of 12332242237464 is 46473224223321.

12332242237464 is a `hidden beast` number, since 1 + 2 + 3 + 32 + 242 + 2 + 374 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45491329 + ... + 45761615.

It is an arithmetic number, because the mean of its divisors is an integer number (180782128800).

Almost surely, 212332242237464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332242237464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355084364800).

12332242237464 is an abundant number, since it is smaller than the sum of its proper divisors (22377926492136).

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

12332242237464 is a wasteful number, since it uses less digits than its factorization.

12332242237464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270582 (or 270575 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 45.

The spelling of 12332242237464 in words is "twelve trillion, three hundred thirty-two billion, two hundred forty-two million, two hundred thirty-seven thousand, four hundred sixty-four".