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1285456078368 = 2534711192571319
BaseRepresentation
bin10010101101001011001…
…001110010011000100000
311112212222122101200110000
4102231023021302120200
5132030103224001433
62422310320540000
7161604541245450
oct22551311623040
94485878350400
101285456078368
11456182498650
12189168781600
13942aabc5957
1446305b65d60
15236871a0113
hex12b4b272620

1285456078368 has 960 divisors, whose sum is σ = 4984490649600. Its totient is φ = 314842152960.

The previous prime is 1285456078351. The next prime is 1285456078393. The reversal of 1285456078368 is 8638706545821.

1285456078368 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 4 + 560 + 7 + 8 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 974568013 + ... + 974569331.

It is an arithmetic number, because the mean of its divisors is an integer number (5192177760).

Almost surely, 21285456078368 is an apocalyptic number.

1285456078368 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 1285456078368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492245324800).

1285456078368 is an abundant number, since it is smaller than the sum of its proper divisors (3699034571232).

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

1285456078368 is a wasteful number, since it uses less digits than its factorization.

1285456078368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 1285456078368 in words is "one trillion, two hundred eighty-five billion, four hundred fifty-six million, seventy-eight thousand, three hundred sixty-eight".