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255091635456 = 283732371593
BaseRepresentation
bin1110110110010010100…
…1010111010100000000
3220101102202220201220020
43231210221113110000
513134411424313311
6313104255013440
724300260061000
oct3554451272400
9811382821806
10255091635456
119920263a339
124153180a280
131b093bc2c38
14c4bcb28000
15697ed21c06
hex3b64a57500

255091635456 has 576 divisors, whose sum is σ = 839210803200. Its totient is φ = 68616683520.

The previous prime is 255091635443. The next prime is 255091635473. The reversal of 255091635456 is 654536190552.

It is a junction number, because it is equal to n+sod(n) for n = 255091635399 and 255091635408.

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 63 ways as a sum of consecutive naturals, for example, 430171096 + ... + 430171688.

It is an arithmetic number, because the mean of its divisors is an integer number (1456963200).

Almost surely, 2255091635456 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 255091635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419605401600).

255091635456 is an abundant number, since it is smaller than the sum of its proper divisors (584119167744).

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

255091635456 is an equidigital number, since it uses as much as digits as its factorization.

255091635456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 255091635456 in words is "two hundred fifty-five billion, ninety-one million, six hundred thirty-five thousand, four hundred fifty-six".