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48008440000 = 265419181349
BaseRepresentation
bin101100101101100001…
…101010100011000000
311120220210100102220101
4230231201222203000
51241310130040000
634015455252144
73316460002243
oct545541524300
9146823312811
1048008440000
11193a65705a4
129379b1a054
1346b128c161
14247603125a
1513aeaece6a
hexb2d86a8c0

48008440000 has 280 divisors, whose sum is σ = 126364238000. Its totient is φ = 18040320000.

The previous prime is 48008439959. The next prime is 48008440003. The reversal of 48008440000 is 4480084.

It is a happy number.

It is a super-2 number, since 2×480084400002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48008440003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137559826 + ... + 137560174.

It is an arithmetic number, because the mean of its divisors is an integer number (451300850).

Almost surely, 248008440000 is an apocalyptic number.

48008440000 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 48008440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63182119000).

48008440000 is an abundant number, since it is smaller than the sum of its proper divisors (78355798000).

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

48008440000 is a wasteful number, since it uses less digits than its factorization.

48008440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 48008440000 in words is "forty-eight billion, eight million, four hundred forty thousand".