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14555748168 = 23331323241239
BaseRepresentation
bin11011000111001011…
…10001011101001000
31101120102012121202000
431203211301131020
5214302232420133
610404204111000
71023463550403
oct154345613510
941512177660
1014555748168
11619a382045
1229a2835460
1314ac7b2850
149c1220d3a
155a2d0e413
hex363971748

14555748168 has 384 divisors, whose sum is σ = 46823616000. Its totient is φ = 4161991680.

The previous prime is 14555748149. The next prime is 14555748173. The reversal of 14555748168 is 86184755541.

14555748168 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 574 + 8 + 1 + 68 = 666.

14555748168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60902593 + ... + 60902831.

It is an arithmetic number, because the mean of its divisors is an integer number (121936500).

Almost surely, 214555748168 is an apocalyptic number.

14555748168 is a gapful number since it is divisible by the number (18) 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 14555748168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23411808000).

14555748168 is an abundant number, since it is smaller than the sum of its proper divisors (32267867832).

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

14555748168 is a wasteful number, since it uses less digits than its factorization.

14555748168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 321 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 54.

The spelling of 14555748168 in words is "fourteen billion, five hundred fifty-five million, seven hundred forty-eight thousand, one hundred sixty-eight".