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48466237248 = 26351113193137
BaseRepresentation
bin101101001000110100…
…000001011101000000
311122002200202221200000
4231020310001131000
51243224324042443
634133131400000
73334016135142
oct551064013500
9148080687600
1048466237248
1119610a22430
1294872b3000
134755088bc0
1424bab5cc92
1513d9dcb8d3
hexb48d01740

48466237248 has 1344 divisors, whose sum is σ = 188876513280. Its totient is φ = 12093235200.

The previous prime is 48466237243. The next prime is 48466237249. The reversal of 48466237248 is 84273266484.

48466237248 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 623 + 7 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×484662372482 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48466237194 and 48466237203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48466237241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1309898286 + ... + 1309898322.

It is an arithmetic number, because the mean of its divisors is an integer number (140533120).

Almost surely, 248466237248 is an apocalyptic number.

48466237248 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 48466237248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94438256640).

48466237248 is an abundant number, since it is smaller than the sum of its proper divisors (140410276032).

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

48466237248 is a wasteful number, since it uses less digits than its factorization.

48466237248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 48466237248 in words is "forty-eight billion, four hundred sixty-six million, two hundred thirty-seven thousand, two hundred forty-eight".