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14216954880 = 210351138191
BaseRepresentation
bin11010011110110010…
…11000010000000000
31100200210201010201110
431033121120100000
5213104020024010
610310422403320
71012211060022
oct151731302000
940623633643
1014216954880
116036111697
122909290540
13145755154b
1498c230012
155831db120
hex34f658400

14216954880 has 176 divisors, whose sum is σ = 45880049664. Its totient is φ = 3757178880.

The previous prime is 14216954819. The next prime is 14216954897. The reversal of 14216954880 is 8845961241.

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

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 15 ways as a sum of consecutive naturals, for example, 1731585 + ... + 1739775.

Almost surely, 214216954880 is an apocalyptic number.

14216954880 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 14216954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22940024832).

14216954880 is an abundant number, since it is smaller than the sum of its proper divisors (31663094784).

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

14216954880 is a wasteful number, since it uses less digits than its factorization.

14216954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 14216954880 in words is "fourteen billion, two hundred sixteen million, nine hundred fifty-four thousand, eight hundred eighty".