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48395197440 = 2103351720593
BaseRepresentation
bin101101000100100101…
…000001110000000000
311121220202002202101000
4231010211001300000
51243103132304230
634122113012000
73332164251042
oct550445016000
9147822082330
1048395197440
1119584911147
129467554000
134743445005
1424b1549a92
1513d3a47b60
hexb44941c00

48395197440 has 352 divisors, whose sum is σ = 182113565760. Its totient is φ = 12145655808.

The previous prime is 48395197439. The next prime is 48395197447. The reversal of 48395197440 is 4479159384.

48395197440 is a `hidden beast` number, since 4 + 8 + 3 + 9 + 5 + 197 + 440 = 666.

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 (48395197447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2339784 + ... + 2360376.

Almost surely, 248395197440 is an apocalyptic number.

48395197440 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 48395197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91056782880).

48395197440 is an abundant number, since it is smaller than the sum of its proper divisors (133718368320).

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

48395197440 is a wasteful number, since it uses less digits than its factorization.

48395197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20644 (or 20620 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 48395197440 in words is "forty-eight billion, three hundred ninety-five million, one hundred ninety-seven thousand, four hundred forty".