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48192921000 = 2333537273499
BaseRepresentation
bin101100111000100001…
…011001110110101000
311121101122111001021000
4230320201121312220
51242144341433000
634050045315000
73324160032600
oct547041316650
9147348431230
1048192921000
1119490713934
12940b865a60
134710571803
142492733c00
1513c0dde000
hexb38859da8

48192921000 has 768 divisors, whose sum is σ = 197402400000. Its totient is φ = 10842854400.

The previous prime is 48192920957. The next prime is 48192921061. The reversal of 48192921000 is 12929184.

48192921000 is a `hidden beast` number, since 481 + 92 + 92 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96578751 + ... + 96579249.

It is an arithmetic number, because the mean of its divisors is an integer number (257034375).

Almost surely, 248192921000 is an apocalyptic number.

48192921000 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 48192921000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98701200000).

48192921000 is an abundant number, since it is smaller than the sum of its proper divisors (149209479000).

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

48192921000 is a wasteful number, since it uses less digits than its factorization.

48192921000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 48192921000 in words is "forty-eight billion, one hundred ninety-two million, nine hundred twenty-one thousand".