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114447478464 = 26321131976007
BaseRepresentation
bin110101010010110011…
…0011110111011000000
3101221102001010021212200
41222211212132323000
53333342023302324
6124324302353200
711161054341654
oct1524546367300
9357361107780
10114447478464
114459a688550
121a22028b800
13aa3ba44677
145779b3aa64
152e9c7adec9
hex1aa599eec0

114447478464 has 336 divisors, whose sum is σ = 373279635456. Its totient is φ = 33210777600.

The previous prime is 114447478447. The next prime is 114447478493. The reversal of 114447478464 is 464874744411.

114447478464 is a `hidden beast` number, since 1 + 1 + 4 + 44 + 74 + 78 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114447478464.

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 47 ways as a sum of consecutive naturals, for example, 19049349 + ... + 19055355.

It is an arithmetic number, because the mean of its divisors is an integer number (1110951296).

Almost surely, 2114447478464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114447478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186639817728).

114447478464 is an abundant number, since it is smaller than the sum of its proper divisors (258832156992).

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

114447478464 is a wasteful number, since it uses less digits than its factorization.

114447478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6151 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The spelling of 114447478464 in words is "one hundred fourteen billion, four hundred forty-seven million, four hundred seventy-eight thousand, four hundred sixty-four".