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14459897088 = 28347137997
BaseRepresentation
bin11010111011110000…
…01000010100000000
31101022201211212210000
431131320020110000
5214103213201323
610350501440000
71021221045240
oct153570102400
941281755700
1014459897088
11615026477a
122976710000
131495992630
149b25cdb20
155996c8e43
hex35de08500

14459897088 has 720 divisors, whose sum is σ = 54292564480. Its totient is φ = 3726508032.

The previous prime is 14459897069. The next prime is 14459897107. The reversal of 14459897088 is 88079895441.

14459897088 is a `hidden beast` number, since 14 + 459 + 8 + 97 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (14459897069) and next prime (14459897107).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149071056 + ... + 149071152.

Almost surely, 214459897088 is an apocalyptic number.

14459897088 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 14459897088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27146282240).

14459897088 is an abundant number, since it is smaller than the sum of its proper divisors (39832667392).

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

14459897088 is an equidigital number, since it uses as much as digits as its factorization.

14459897088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 14459897088 in words is "fourteen billion, four hundred fifty-nine million, eight hundred ninety-seven thousand, eighty-eight".