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855668019456 = 2833313722917
BaseRepresentation
bin11000111001110011100…
…10011101000100000000
310000210121222100010121000
430130321302131010000
5103004402003110311
61453031035132000
7115551152105565
oct14347162350400
93023558303530
10855668019456
112aa983320748
12119a015a4000
13628c609aa63
142d5b376886c
15173d0595056
hexc739c9d100

855668019456 has 432 divisors, whose sum is σ = 2685407854080. Its totient is φ = 268469821440.

The previous prime is 855668019439. The next prime is 855668019457. The reversal of 855668019456 is 654910866558.

It is a happy number.

855668019456 is a `hidden beast` number, since 8 + 5 + 566 + 8 + 0 + 19 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 855668019393 and 855668019402.

It is not an unprimeable number, because it can be changed into a prime (855668019457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293336910 + ... + 293339826.

Almost surely, 2855668019456 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 855668019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342703927040).

855668019456 is an abundant number, since it is smaller than the sum of its proper divisors (1829739834624).

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

855668019456 is a wasteful number, since it uses less digits than its factorization.

855668019456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 855668019456 in words is "eight hundred fifty-five billion, six hundred sixty-eight million, nineteen thousand, four hundred fifty-six".