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14842470720 = 26357111991009
BaseRepresentation
bin11011101001010111…
…00010000101000000
31102022101201122010210
431310223202011000
5220344133030340
610452445354120
71033544630250
oct156453420500
942271648123
1014842470720
116327207a30
122a62868940
13152701206c
14a0b339960
155bd099180
hex374ae2140

14842470720 has 448 divisors, whose sum is σ = 59106816000. Its totient is φ = 3065610240.

The previous prime is 14842470707. The next prime is 14842470757. The reversal of 14842470720 is 2707424841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14709576 + ... + 14710584.

Almost surely, 214842470720 is an apocalyptic number.

14842470720 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 14842470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29553408000).

14842470720 is an abundant number, since it is smaller than the sum of its proper divisors (44264345280).

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

14842470720 is a wasteful number, since it uses less digits than its factorization.

14842470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 14842470720 in words is "fourteen billion, eight hundred forty-two million, four hundred seventy thousand, seven hundred twenty".