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14065295858068 = 227131923143591361
BaseRepresentation
bin1100110010101101010011…
…1101101001100110010100
31211210121222122121020001011
43030223110331221212110
53320421211214424233
645525301355542004
72651120100111520
oct314532475514624
954717878536034
1014065295858068
114533070915254
1216b1b4715a904
137b047591a460
14368a9a3d8d80
15195d0d5490cd
hexccad4f69994

14065295858068 has 576 divisors, whose sum is σ = 34369407959040. Its totient is φ = 4894699622400.

The previous prime is 14065295858059. The next prime is 14065295858221. The reversal of 14065295858068 is 86085859256041.

It is a junction number, because it is equal to n+sod(n) for n = 14065295857994 and 14065295858012.

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 191 ways as a sum of consecutive naturals, for example, 10334529708 + ... + 10334531068.

It is an arithmetic number, because the mean of its divisors is an integer number (59669111040).

Almost surely, 214065295858068 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 14065295858068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184703979520).

14065295858068 is an abundant number, since it is smaller than the sum of its proper divisors (20304112100972).

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

14065295858068 is a wasteful number, since it uses less digits than its factorization.

14065295858068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 67.

The spelling of 14065295858068 in words is "fourteen trillion, sixty-five billion, two hundred ninety-five million, eight hundred fifty-eight thousand, sixty-eight".