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1082417018056 = 231143881324689
BaseRepresentation
bin11111100000001010001…
…01001111010011001000
310211110220111120201221021
433300011011033103020
5120213242224034211
62145131105122224
7141126205563343
oct17600505172310
93743814521837
101082417018056
11388061208460
12155943329374
137b0c109734a
143a5641d145a
151d25201d771
hexfc0514f4c8

1082417018056 has 64 divisors (see below), whose sum is σ = 2268102513600. Its totient is φ = 480018739200.

The previous prime is 1082417018051. The next prime is 1082417018071. The reversal of 1082417018056 is 6508107142801.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (1082417018051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3171360 + ... + 3496048.

It is an arithmetic number, because the mean of its divisors is an integer number (35439101775).

Almost surely, 21082417018056 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 1082417018056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134051256800).

1082417018056 is an abundant number, since it is smaller than the sum of its proper divisors (1185685495544).

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

1082417018056 is a wasteful number, since it uses less digits than its factorization.

1082417018056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325630 (or 325626 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 1082417018056 in words is "one trillion, eighty-two billion, four hundred seventeen million, eighteen thousand, fifty-six".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 881 946 1762 1892 3524 3784 7048 9691 19382 37883 38764 75766 77528 151532 303064 324689 416713 649378 833426 1298756 1666852 2597512 3333704 3571579 7143158 13961627 14286316 27923254 28572632 55846508 111693016 153577897 286051009 307155794 572102018 614311588 1144204036 1228623176 2288408072 3146561099 6293122198 12300193387 12586244396 24600386774 25172488792 49200773548 98401547096 135302127257 270604254514 541208509028 1082417018056