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255089100672 = 27327172234759
BaseRepresentation
bin1110110110010001111…
…1101100011110000000
3220101102121010221211100
43231210133230132000
513134410302210142
6313104124414400
724300226402650
oct3554437543600
9811377127740
10255089100672
119920116897a
12415309a7400
131b093516273
14c4bc668360
15697e9c0b4c
hex3b647ec780

255089100672 has 576 divisors, whose sum is σ = 930100953600. Its totient is φ = 65599193088.

The previous prime is 255089100653. The next prime is 255089100683. The reversal of 255089100672 is 276001980552.

255089100672 is a `hidden beast` number, since 2 + 550 + 8 + 91 + 0 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53599029 + ... + 53603787.

It is an arithmetic number, because the mean of its divisors is an integer number (1614758600).

Almost surely, 2255089100672 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 255089100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465050476800).

255089100672 is an abundant number, since it is smaller than the sum of its proper divisors (675011852928).

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

255089100672 is a wasteful number, since it uses less digits than its factorization.

255089100672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 255089100672 in words is "two hundred fifty-five billion, eighty-nine million, one hundred thousand, six hundred seventy-two".