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676282095456 = 253114371209767
BaseRepresentation
bin10011101011101011000…
…11011101011101100000
32101122121021002000020220
421311311203131131200
542040011204023311
61234402452203040
766600620651532
oct11656543353540
92348537060226
10676282095456
1124089a6809a0
12ab099609480
134ba0873ccb6
1424a3733b852
15128d1c3a206
hex9d758dd760

676282095456 has 192 divisors, whose sum is σ = 2009584152576. Its totient is φ = 197347852800.

The previous prime is 676282095407. The next prime is 676282095491. The reversal of 676282095456 is 654590282676.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 676282095456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3119085 + ... + 3328851.

It is an arithmetic number, because the mean of its divisors is an integer number (10466584128).

Almost surely, 2676282095456 is an apocalyptic number.

676282095456 is a gapful number since it is divisible by the number (66) 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 676282095456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004792076288).

676282095456 is an abundant number, since it is smaller than the sum of its proper divisors (1333302057120).

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

676282095456 is a wasteful number, since it uses less digits than its factorization.

676282095456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209905 (or 209897 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 676282095456 in words is "six hundred seventy-six billion, two hundred eighty-two million, ninety-five thousand, four hundred fifty-six".