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48999051360 = 25345721931131
BaseRepresentation
bin101101101000100100…
…100011000001100000
311200110211100201020000
4231220210203001200
51300322224120420
634302043420000
73353146031100
oct555044430140
9150424321200
1048999051360
1119864761576
1295b5824600
13480b58cb1c
14252b817200
15141ba77690
hexb68923060

48999051360 has 1440 divisors, whose sum is σ = 220244935680. Its totient is φ = 10189670400.

The previous prime is 48999051349. The next prime is 48999051421. The reversal of 48999051360 is 6315099984.

48999051360 is a `hidden beast` number, since 489 + 9 + 90 + 5 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 48999051297 and 48999051306.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 374038495 + ... + 374038625.

It is an arithmetic number, because the mean of its divisors is an integer number (152947872).

Almost surely, 248999051360 is an apocalyptic number.

48999051360 is a gapful number since it is divisible by the number (40) 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 48999051360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110122467840).

48999051360 is an abundant number, since it is smaller than the sum of its proper divisors (171245884320).

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

48999051360 is a wasteful number, since it uses less digits than its factorization.

48999051360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 48999051360 in words is "forty-eight billion, nine hundred ninety-nine million, fifty-one thousand, three hundred sixty".