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14432852016 = 2432119111649
BaseRepresentation
bin11010111000100001…
…11101100000110000
31101020211221211220200
431130100331200300
5214024302231031
610344054035200
71020442134522
oct153420754060
941224854820
1014432852016
116136a72380
122969648b00
1314901b362b
149acb8da12
155971358e6
hex35c43d830

14432852016 has 60 divisors (see below), whose sum is σ = 44063939400. Its totient is φ = 4373591040.

The previous prime is 14432852011. The next prime is 14432852099. The reversal of 14432852016 is 61025823441.

It is a happy number.

14432852016 is a `hidden beast` number, since 1 + 443 + 2 + 8 + 5 + 201 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14432852011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4554241 + ... + 4557408.

It is an arithmetic number, because the mean of its divisors is an integer number (734398990).

Almost surely, 214432852016 is an apocalyptic number.

14432852016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14432852016 is an abundant number, since it is smaller than the sum of its proper divisors (29631087384).

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

14432852016 is a wasteful number, since it uses less digits than its factorization.

14432852016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9111674 (or 9111665 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14432852016 in words is "fourteen billion, four hundred thirty-two million, eight hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 9111649 18223298 27334947 36446596 54669894 72893192 82004841 100228139 109339788 145786384 164009682 200456278 218679576 300684417 328019364 400912556 437359152 601368834 656038728 801825112 902053251 1202737668 1312077456 1603650224 1804106502 2405475336 3608213004 4810950672 7216426008 14432852016