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48889189440 = 26365731347
BaseRepresentation
bin101101100010000001…
…011101010001000000
311200012011122011000000
4231202001131101000
51300111113030230
634243121000000
73350343153000
oct554201352100
9150164564000
1048889189440
11198087446a3
129584a83000
1347c18a5580
14251adba000
1514120c5b60
hexb6205d440

48889189440 has 1568 divisors, whose sum is σ = 223874380800. Its totient is φ = 10095611904.

The previous prime is 48889189409. The next prime is 48889189471. The reversal of 48889189440 is 4498198884.

48889189440 is a `hidden beast` number, since 4 + 8 + 8 + 8 + 9 + 189 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (48889189409) and next prime (48889189471).

It is a tau number, because it is divible by the number of its divisors (1568).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 223 ways as a sum of consecutive naturals, for example, 1040195497 + ... + 1040195543.

Almost surely, 248889189440 is an apocalyptic number.

48889189440 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 48889189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111937190400).

48889189440 is an abundant number, since it is smaller than the sum of its proper divisors (174985191360).

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

48889189440 is an equidigital number, since it uses as much as digits as its factorization.

48889189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 48889189440 in words is "forty-eight billion, eight hundred eighty-nine million, one hundred eighty-nine thousand, four hundred forty".