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14948220672 = 2832721112037
BaseRepresentation
bin11011110101111101…
…11011111100000000
31102120202201021210200
431322332323330000
5221103221030142
610511144125200
71036300531200
oct157276737400
942522637720
1014948220672
116380976490
122a92166800
131542bb9ab8
14a1b3c6400
155c74d764c
hex37afbbf00

14948220672 has 324 divisors, whose sum is σ = 54698408856. Its totient is φ = 3882332160.

The previous prime is 14948220671. The next prime is 14948220691. The reversal of 14948220672 is 27602284941.

14948220672 is a `hidden beast` number, since 1 + 494 + 82 + 20 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14948220671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1235838 + ... + 1247874.

Almost surely, 214948220672 is an apocalyptic number.

14948220672 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 14948220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349204428).

14948220672 is an abundant number, since it is smaller than the sum of its proper divisors (39750188184).

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

14948220672 is a wasteful number, since it uses less digits than its factorization.

14948220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14948220672 in words is "fourteen billion, nine hundred forty-eight million, two hundred twenty thousand, six hundred seventy-two".