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48834853344 = 2534174127031
BaseRepresentation
bin101101011110110010…
…001011100111100000
311200001101101120220000
4231132302023213200
51300003210301334
634233500220000
73346113255504
oct553662134740
9150041346800
1048834853344
1119790002132
12956a83a600
1347b355c634
142513ab4304
15140c441299
hexb5ec8b9e0

48834853344 has 240 divisors, whose sum is σ = 155785091616. Its totient is φ = 14946508800.

The previous prime is 48834853307. The next prime is 48834853349. The reversal of 48834853344 is 44335843884.

48834853344 is a `hidden beast` number, since 48 + 83 + 485 + 3 + 3 + 44 = 666.

It is a super-2 number, since 2×488348533442 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (48834853349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1793109 + ... + 1820139.

Almost surely, 248834853344 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 48834853344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77892545808).

48834853344 is an abundant number, since it is smaller than the sum of its proper divisors (106950238272).

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

48834853344 is a wasteful number, since it uses less digits than its factorization.

48834853344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27111 (or 27094 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 48834853344 in words is "forty-eight billion, eight hundred thirty-four million, eight hundred fifty-three thousand, three hundred forty-four".