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12344530698432 = 2632611870118787
BaseRepresentation
bin1011001110100010111101…
…0111100000000011000000
31121201010101120100222212200
42303220233113200003000
53104223044324322212
642130555450353200
72412601656434112
oct263505727400300
947633346328780
1012344530698432
113a2a316837a09
12147455242b800
136b711313539a
1430969ad093b2
15166199c1a6dc
hexb3a2f5e00c0

12344530698432 has 168 divisors, whose sum is σ = 35967261041712. Its totient is φ = 4046955264000.

The previous prime is 12344530698431. The next prime is 12344530698433. The reversal of 12344530698432 is 23489603544321.

12344530698432 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 4 + 530 + 69 + 8 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12344530698431) and next prime (12344530698433).

It is not an unprimeable number, because it can be changed into a prime (12344530698431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657068943 + ... + 657087729.

It is an arithmetic number, because the mean of its divisors is an integer number (214090839534).

Almost surely, 212344530698432 is an apocalyptic number.

12344530698432 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 12344530698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983630520856).

12344530698432 is an abundant number, since it is smaller than the sum of its proper divisors (23622730343280).

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

12344530698432 is a wasteful number, since it uses less digits than its factorization.

12344530698432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37567 (or 37554 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 12344530698432 in words is "twelve trillion, three hundred forty-four billion, five hundred thirty million, six hundred ninety-eight thousand, four hundred thirty-two".