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14724545472 = 263475132
BaseRepresentation
bin11011011011010011…
…01011101111000000
31102000011211102010000
431231221223233000
5220123440423342
610433034040000
71030613400000
oct155551535700
942004742100
1014724545472
116276692a4a
122a2b279000
131508763600
149d9800000
155b2a5344c
hex36da6bbc0

14724545472 has 630 divisors, whose sum is σ = 55140852888. Its totient is φ = 3883396608.

The previous prime is 14724545449. The next prime is 14724545533. The reversal of 14724545472 is 27454542741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14724545472 is a `hidden beast` number, since 1 + 47 + 24 + 545 + 47 + 2 = 666.

Its product of digits (1254400) is a multiple of the sum of its prime divisors (25).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 1132657338 + ... + 1132657350.

Almost surely, 214724545472 is an apocalyptic number.

14724545472 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 14724545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27570426444).

14724545472 is an abundant number, since it is smaller than the sum of its proper divisors (40416307416).

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

14724545472 is an frugal number, since it uses more digits than its factorization.

14724545472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 25 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 45.

The spelling of 14724545472 in words is "fourteen billion, seven hundred twenty-four million, five hundred forty-five thousand, four hundred seventy-two".