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48835104768 = 212341961127
BaseRepresentation
bin101101011110110011…
…001001000000000000
311200001101212100210000
4231132303021000000
51300003241323033
634233505440000
73346115353512
oct553663110000
9150041770700
1048835104768
111979016401a
12956a940000
1347b3619bc8
142513b3bbb2
15140c490a13
hexb5ecc9000

48835104768 has 520 divisors, whose sum is σ = 157309137920. Its totient is φ = 15049359360.

The previous prime is 48835104761. The next prime is 48835104809. The reversal of 48835104768 is 86740153884.

48835104768 is a `hidden beast` number, since 4 + 8 + 83 + 510 + 47 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48835104761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384528321 + ... + 384528447.

Almost surely, 248835104768 is an apocalyptic number.

48835104768 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 48835104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78654568960).

48835104768 is an abundant number, since it is smaller than the sum of its proper divisors (108474033152).

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

48835104768 is a wasteful number, since it uses less digits than its factorization.

48835104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 48835104768 in words is "forty-eight billion, eight hundred thirty-five million, one hundred four thousand, seven hundred sixty-eight".