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14475822768 = 24331141191389
BaseRepresentation
bin11010111101101001…
…11000011010110000
31101100211210222201000
431132310320122300
5214121302312033
610352231042000
71021503314631
oct153664703260
941324728630
1014475822768
1161592519a0
12297bb10300
13149907a404
149b4777888
1559acc2a13
hex35ed386b0

14475822768 has 320 divisors, whose sum is σ = 46797004800. Its totient is φ = 4246272000.

The previous prime is 14475822721. The next prime is 14475822773. The reversal of 14475822768 is 86722857441.

14475822768 is a `hidden beast` number, since 14 + 47 + 582 + 2 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 37212718 + ... + 37213106.

It is an arithmetic number, because the mean of its divisors is an integer number (146240640).

Almost surely, 214475822768 is an apocalyptic number.

14475822768 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 14475822768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398502400).

14475822768 is an abundant number, since it is smaller than the sum of its proper divisors (32321182032).

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

14475822768 is a wasteful number, since it uses less digits than its factorization.

14475822768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 637 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 14475822768 in words is "fourteen billion, four hundred seventy-five million, eight hundred twenty-two thousand, seven hundred sixty-eight".