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14293881648 = 243333087689
BaseRepresentation
bin11010100111111101…
…10101001100110000
31100220011110102102000
431103332311030300
5213233213203043
610322211254000
71014133663224
oct152376651460
940804412360
1014293881648
116075583932
12292abaa300
13146a476b47
14998536784
15589d342d3
hex353fb5330

14293881648 has 40 divisors (see below), whose sum is σ = 41028735600. Its totient is φ = 4764627072.

The previous prime is 14293881629. The next prime is 14293881677. The reversal of 14293881648 is 84618839241.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14293881594 and 14293881603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16543413 + ... + 16544276.

It is an arithmetic number, because the mean of its divisors is an integer number (1025718390).

Almost surely, 214293881648 is an apocalyptic number.

14293881648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14293881648 is an abundant number, since it is smaller than the sum of its proper divisors (26734853952).

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

14293881648 is a wasteful number, since it uses less digits than its factorization.

14293881648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33087706 (or 33087694 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 14293881648 in words is "fourteen billion, two hundred ninety-three million, eight hundred eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 33087689 66175378 99263067 132350756 198526134 264701512 297789201 397052268 529403024 595578402 794104536 893367603 1191156804 1588209072 1786735206 2382313608 3573470412 4764627216 7146940824 14293881648