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48976345296 = 2432171937149191
BaseRepresentation
bin101101100111001101…
…111011100011010000
311200102020122010100200
4231213031323203100
51300300421022141
634255513015200
73352452031464
oct554715734320
9150366563320
1048976345296
111985296312a
1295aa0b4500
13480696ca98
1425287c64a4
151419a8eab6
hexb6737b8d0

48976345296 has 480 divisors, whose sum is σ = 158775552000. Its totient is φ = 13994311680.

The previous prime is 48976345289. The next prime is 48976345307. The reversal of 48976345296 is 69254367984.

48976345296 is a `hidden beast` number, since 4 + 8 + 9 + 76 + 34 + 529 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256420561 + ... + 256420751.

It is an arithmetic number, because the mean of its divisors is an integer number (330782400).

Almost surely, 248976345296 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 48976345296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387776000).

48976345296 is an abundant number, since it is smaller than the sum of its proper divisors (109799206704).

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

48976345296 is a wasteful number, since it uses less digits than its factorization.

48976345296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 48976345296 in words is "forty-eight billion, nine hundred seventy-six million, three hundred forty-five thousand, two hundred ninety-six".