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48735443232 = 25337193113681
BaseRepresentation
bin101101011000110110…
…111101100100100000
311122210110100000212000
4231120312331210200
51244302233140412
634215545404000
73343465301220
oct553066754440
9148713300760
1048735443232
1119739983913
129541499600
134798a94498
1425047d8080
1514038564dc
hexb58dbd920

48735443232 has 384 divisors, whose sum is σ = 176530636800. Its totient is φ = 12765081600.

The previous prime is 48735443191. The next prime is 48735443249. The reversal of 48735443232 is 23234453784.

48735443232 is a `hidden beast` number, since 4 + 8 + 73 + 544 + 3 + 2 + 32 = 666.

48735443232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3555432 + ... + 3569112.

It is an arithmetic number, because the mean of its divisors is an integer number (459715200).

Almost surely, 248735443232 is an apocalyptic number.

48735443232 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 48735443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88265318400).

48735443232 is an abundant number, since it is smaller than the sum of its proper divisors (127795193568).

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

48735443232 is a wasteful number, since it uses less digits than its factorization.

48735443232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13757 (or 13743 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 48735443232 in words is "forty-eight billion, seven hundred thirty-five million, four hundred forty-three thousand, two hundred thirty-two".