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14485266432 = 2133271317127
BaseRepresentation
bin11010111110110001…
…11010000000000000
31101101111120202222100
431133120322000000
5214131212011212
610353205310400
71021646506320
oct153730720000
941344522870
1014485266432
11616361207a
122983105400
13149b005990
149b5b15280
1559ba3abdc
hex35f63a000

14485266432 has 672 divisors, whose sum is σ = 54958804992. Its totient is φ = 3567255552.

The previous prime is 14485266413. The next prime is 14485266457. The reversal of 14485266432 is 23466258441.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114057153 + ... + 114057279.

It is an arithmetic number, because the mean of its divisors is an integer number (81783936).

Almost surely, 214485266432 is an apocalyptic number.

14485266432 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 14485266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27479402496).

14485266432 is an abundant number, since it is smaller than the sum of its proper divisors (40473538560).

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

14485266432 is a wasteful number, since it uses less digits than its factorization.

14485266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 14485266432 in words is "fourteen billion, four hundred eighty-five million, two hundred sixty-six thousand, four hundred thirty-two".