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14485560960 = 2735133197193
BaseRepresentation
bin11010111110110100…
…00001111010000000
31101101112010201222210
431133122001322000
5214131300422320
610353215502120
71021652144103
oct153732017200
941345121883
1014485560960
1161637a3392
122983227940
13149b0a9a60
149b5b9073a
1559ba980e0
hex35f681e80

14485560960 has 512 divisors, whose sum is σ = 52126341120. Its totient is φ = 3397386240.

The previous prime is 14485560953. The next prime is 14485560979. The reversal of 14485560960 is 6906558441.

It is a super-2 number, since 2×144855609602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 75054624 + ... + 75054816.

It is an arithmetic number, because the mean of its divisors is an integer number (101809260).

Almost surely, 214485560960 is an apocalyptic number.

14485560960 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 14485560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26063170560).

14485560960 is an abundant number, since it is smaller than the sum of its proper divisors (37640780160).

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

14485560960 is a wasteful number, since it uses less digits than its factorization.

14485560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 14485560960 in words is "fourteen billion, four hundred eighty-five million, five hundred sixty thousand, nine hundred sixty".