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14848745472 = 213331117359
BaseRepresentation
bin11011101010000110…
…11110000000000000
31102022211112102111000
431311003132000000
5220402234323342
610453232052000
71033652153061
oct156503360000
942284472430
1014848745472
11632a803280
122a64994000
1315283cb132
14a0c0d0568
155bd8d844c
hex3750de000

14848745472 has 448 divisors, whose sum is σ = 50957683200. Its totient is φ = 4223139840.

The previous prime is 14848745447. The next prime is 14848745491. The reversal of 14848745472 is 27454784841.

It is a happy number.

14848745472 is a `hidden beast` number, since 1 + 48 + 4 + 87 + 454 + 72 = 666.

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

Its product of digits (8028160) is a multiple of the sum of its prime divisors (392).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41361229 + ... + 41361587.

Almost surely, 214848745472 is an apocalyptic number.

14848745472 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 14848745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25478841600).

14848745472 is an abundant number, since it is smaller than the sum of its proper divisors (36108937728).

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

14848745472 is a wasteful number, since it uses less digits than its factorization.

14848745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 392 counting only the distinct ones).

The product of its digits is 8028160, while the sum is 54.

The spelling of 14848745472 in words is "fourteen billion, eight hundred forty-eight million, seven hundred forty-five thousand, four hundred seventy-two".