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48734442000 = 24325329891049
BaseRepresentation
bin101101011000110011…
…001001001000010000
311122210101110011102100
4231120303021020100
51244302004121000
634215512120400
73343453631166
oct553063111020
9148711404370
1048734442000
111973935a652
129541096100
13479880383a
142504617236
151403709a00
hexb58cc9210

48734442000 has 480 divisors, whose sum is σ = 178230780000. Its totient is φ = 12394905600.

The previous prime is 48734441957. The next prime is 48734442013. The reversal of 48734442000 is 24443784.

It is a happy number.

48734442000 is a `hidden beast` number, since 4 + 8 + 7 + 3 + 444 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 30577418496 + 18157023504 = 174864^2 + 134748^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46457476 + ... + 46458524.

It is an arithmetic number, because the mean of its divisors is an integer number (371314125).

Almost surely, 248734442000 is an apocalyptic number.

48734442000 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 48734442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89115390000).

48734442000 is an abundant number, since it is smaller than the sum of its proper divisors (129496338000).

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

48734442000 is a wasteful number, since it uses less digits than its factorization.

48734442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 48734442000 its reverse (24443784), we get a palindrome (48758885784).

The spelling of 48734442000 in words is "forty-eight billion, seven hundred thirty-four million, four hundred forty-two thousand".