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14863315968 = 210341783127
BaseRepresentation
bin11011101011110110…
…00011010000000000
31102100211221200110000
431311323003100000
5220420002102333
610454512240000
71034220046464
oct156573032000
942324850400
1014863315968
116337a55306
122a69840000
13152b430127
14a100044a4
155bed15713
hex375ec3400

14863315968 has 440 divisors, whose sum is σ = 47936351232. Its totient is φ = 4570546176.

The previous prime is 14863315949. The next prime is 14863315969. The reversal of 14863315968 is 86951336841.

14863315968 is a `hidden beast` number, since 1 + 48 + 6 + 3 + 3 + 1 + 596 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14863315969) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117033921 + ... + 117034047.

Almost surely, 214863315968 is an apocalyptic number.

14863315968 is a gapful number since it is divisible by the number (18) 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 14863315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23968175616).

14863315968 is an abundant number, since it is smaller than the sum of its proper divisors (33073035264).

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

14863315968 is a wasteful number, since it uses less digits than its factorization.

14863315968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 232 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 14863315968 in words is "fourteen billion, eight hundred sixty-three million, three hundred fifteen thousand, nine hundred sixty-eight".