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47232000000 = 213325641
BaseRepresentation
bin101011111111001111…
…110010000000000000
311111220200100012110100
4223333033302000000
51233212343000000
633410441402400
73261311242623
oct537717620000
9144820305410
1047232000000
1119038261749
1291a1a99400
1345b9467bc3
142400c79dba
15136687ba00
hexaff3f2000

47232000000 has 588 divisors, whose sum is σ = 174707099658. Its totient is φ = 12288000000.

The previous prime is 47231999987. The next prime is 47232000001. The reversal of 47232000000 is 23274.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 37530537984 + 9701462016 = 193728^2 + 98496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (47232000001) 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 41 ways as a sum of consecutive naturals, for example, 1151999980 + ... + 1152000020.

Almost surely, 247232000000 is an apocalyptic number.

47232000000 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 47232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87353549829).

47232000000 is an abundant number, since it is smaller than the sum of its proper divisors (127475099658).

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

47232000000 is an frugal number, since it uses more digits than its factorization.

47232000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 47232000000 its reverse (23274), we get a palindrome (47232023274).

The spelling of 47232000000 in words is "forty-seven billion, two hundred thirty-two million", and thus it is an aban number.