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48973258368 = 273417318963
BaseRepresentation
bin101101100111000010…
…001001111010000000
311200102000211021220000
4231213002021322000
51300244123231433
634255322520000
73352413553626
oct554702117200
9150360737800
1048973258368
1119851144951
1295a9066000
13480612b9b8
142528221516
151419680113
hexb67089e80

48973258368 has 320 divisors, whose sum is σ = 159312510720. Its totient is φ = 14866882560.

The previous prime is 48973258357. The next prime is 48973258391. The reversal of 48973258368 is 86385237984.

48973258368 is a `hidden beast` number, since 48 + 9 + 7 + 3 + 2 + 583 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5459455 + ... + 5468417.

It is an arithmetic number, because the mean of its divisors is an integer number (497851596).

Almost surely, 248973258368 is an apocalyptic number.

48973258368 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 48973258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79656255360).

48973258368 is an abundant number, since it is smaller than the sum of its proper divisors (110339252352).

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

48973258368 is a wasteful number, since it uses less digits than its factorization.

48973258368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037 (or 9016 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 48973258368 in words is "forty-eight billion, nine hundred seventy-three million, two hundred fifty-eight thousand, three hundred sixty-eight".