Search a number
-
+
47151145008 = 243311294373109
BaseRepresentation
bin101011111010011011…
…010110000000110000
311111201001012100021000
4223322123112000300
51233031143120013
633354432402000
73256310056032
oct537233260060
9144631170230
1047151145008
1118aa6657140
12917a9a6300
1345a5798606
1423d422dc52
15135e709973
hexafa6d6030

47151145008 has 640 divisors, whose sum is σ = 159882624000. Its totient is φ = 13168189440.

The previous prime is 47151145003. The next prime is 47151145031. The reversal of 47151145008 is 80054115174.

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 (47151145003) 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 127 ways as a sum of consecutive naturals, for example, 432579258 + ... + 432579366.

It is an arithmetic number, because the mean of its divisors is an integer number (249816600).

Almost surely, 247151145008 is an apocalyptic number.

47151145008 is a gapful number since it is divisible by the number (48) 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 47151145008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79941312000).

47151145008 is an abundant number, since it is smaller than the sum of its proper divisors (112731478992).

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

47151145008 is a wasteful number, since it uses less digits than its factorization.

47151145008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 47151145008 in words is "forty-seven billion, one hundred fifty-one million, one hundred forty-five thousand, eight".