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452639425248 = 2532171573471697
BaseRepresentation
bin1101001011000110110…
…10011000001011100000
31121021100012221020101100
412211203122120023200
524404001143101443
6543534545434400
744462553430053
oct6454332301340
91537305836340
10452639425248
11164a6617872a
127388403ba00
13338b717604a
1417c9d278a9a
15bb92d5a3d3
hex69636982e0

452639425248 has 288 divisors, whose sum is σ = 1376354869344. Its totient is φ = 140610502656.

The previous prime is 452639425187. The next prime is 452639425289. The reversal of 452639425248 is 842524936254.

452639425248 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 394 + 2 + 5 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 452639425194 and 452639425203.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 266728336 + ... + 266730032.

It is an arithmetic number, because the mean of its divisors is an integer number (4779009963).

Almost surely, 2452639425248 is an apocalyptic number.

452639425248 is a gapful number since it is divisible by the number (48) 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 452639425248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688177434672).

452639425248 is an abundant number, since it is smaller than the sum of its proper divisors (923715444096).

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

452639425248 is a wasteful number, since it uses less digits than its factorization.

452639425248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2223 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 452639425248 in words is "four hundred fifty-two billion, six hundred thirty-nine million, four hundred twenty-five thousand, two hundred forty-eight".