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12423604214640 = 24351759125940993
BaseRepresentation
bin1011010011001001100010…
…0001000001101101110000
31121222200111100010211001010
42310302120201001231300
53112022020134332030
642231154110310520
72421401331304563
oct264623041015560
947880440124033
1012423604214640
113a5a903773003
12148793bab8440
136c1705330128
1430d43c9d24da
15168276bca6b0
hexb4c98841b70

12423604214640 has 320 divisors, whose sum is σ = 41503768588800. Its totient is φ = 3062722854912.

The previous prime is 12423604214579. The next prime is 12423604214647. The reversal of 12423604214640 is 4641240632421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423604214647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303045984 + ... + 303086976.

It is an arithmetic number, because the mean of its divisors is an integer number (129699276840).

Almost surely, 212423604214640 is an apocalyptic number.

12423604214640 is a gapful number since it is divisible by the number (10) 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 12423604214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20751884294400).

12423604214640 is an abundant number, since it is smaller than the sum of its proper divisors (29080164374160).

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

12423604214640 is a wasteful number, since it uses less digits than its factorization.

12423604214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42344 (or 42338 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 12423604214640 in words is "twelve trillion, four hundred twenty-three billion, six hundred four million, two hundred fourteen thousand, six hundred forty".