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676163404113120 = 2532571121673319627
BaseRepresentation
bin1001100110111101111000111…
…1100000110010010011100000
310021200002120221012201111201200
42121233132033200302103200
51202111230122423104440
610354025102444201200
7262265123326415550
oct23157361740622340
93250076835644650
10676163404113120
111864a0320095200
1263a04bb7b39200
1323039c21146041
14bcd86aa555160
1553288663a4c30
hex266f78f8324e0

676163404113120 has 864 divisors, whose sum is σ = 2915919168873984. Its totient is φ = 139660118231040.

The previous prime is 676163404113011. The next prime is 676163404113139. The reversal of 676163404113120 is 21311404361676.

676163404113120 is a `hidden beast` number, since 6 + 7 + 6 + 1 + 6 + 3 + 404 + 113 + 120 = 666.

676163404113120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6761634041131202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202026747 + ... + 205346373.

It is an arithmetic number, because the mean of its divisors is an integer number (3374906445456).

Almost surely, 2676163404113120 is an apocalyptic number.

676163404113120 is a gapful number since it is divisible by the number (60) 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 676163404113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457959584436992).

676163404113120 is an abundant number, since it is smaller than the sum of its proper divisors (2239755764760864).

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

676163404113120 is a wasteful number, since it uses less digits than its factorization.

676163404113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319844 (or 3319822 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

Adding to 676163404113120 its reverse (21311404361676), we get a palindrome (697474808474796).

The spelling of 676163404113120 in words is "six hundred seventy-six trillion, one hundred sixty-three billion, four hundred four million, one hundred thirteen thousand, one hundred twenty".