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48925854432 = 253271373107239
BaseRepresentation
bin101101100100001101…
…010100101011100000
311200021201121220220200
4231210031110223200
51300200004320212
634250510505200
73351266621010
oct554415245340
9150251556820
1048925854432
1119827407644
129595205200
1347c9372130
142521c01c40
1514154196dc
hexb64354ae0

48925854432 has 576 divisors, whose sum is σ = 175941642240. Its totient is φ = 12555067392.

The previous prime is 48925854421. The next prime is 48925854433. The reversal of 48925854432 is 23445852984.

48925854432 is a `hidden beast` number, since 4 + 8 + 92 + 5 + 8 + 544 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48925854433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204710569 + ... + 204710807.

It is an arithmetic number, because the mean of its divisors is an integer number (305454240).

Almost surely, 248925854432 is an apocalyptic number.

48925854432 is a gapful number since it is divisible by the number (42) 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 48925854432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87970821120).

48925854432 is an abundant number, since it is smaller than the sum of its proper divisors (127015787808).

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

48925854432 is a wasteful number, since it uses less digits than its factorization.

48925854432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 48925854432 in words is "forty-eight billion, nine hundred twenty-five million, eight hundred fifty-four thousand, four hundred thirty-two".