Search a number
-
+
48169440000 = 283254113041
BaseRepresentation
bin101100110111000111…
…110101001100000000
311121100000022002101100
4230313013311030000
51242122334040000
634043450134400
73323453325063
oct546707651400
9147300262340
1048169440000
1119479436250
129403a21400
13470873cb26
14248d5808da
1513bdd01a00
hexb371f5300

48169440000 has 540 divisors, whose sum is σ = 189389432232. Its totient is φ = 11673600000.

The previous prime is 48169439963. The next prime is 48169440001. The reversal of 48169440000 is 4496184.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (48169440001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 15838480 + ... + 15841520.

Almost surely, 248169440000 is an apocalyptic number.

48169440000 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 48169440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94694716116).

48169440000 is an abundant number, since it is smaller than the sum of its proper divisors (141219992232).

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

48169440000 is a wasteful number, since it uses less digits than its factorization.

48169440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 48169440000 in words is "forty-eight billion, one hundred sixty-nine million, four hundred forty thousand".