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47197440000 = 211325417241
BaseRepresentation
bin101011111101001011…
…111100100000000000
311111211021022101001100
4223331023330200000
51233130021040000
633403204534400
73260411422614
oct537513744000
9144737271040
1047197440000
111901a7a7267
1291923b1400
1345b22574b9
1423da441344
151363801a00
hexafd2fc800

47197440000 has 720 divisors, whose sum is σ = 181107386460. Its totient is φ = 11796480000.

The previous prime is 47197439987. The next prime is 47197440071. The reversal of 47197440000 is 4479174.

It can be written as a sum of positive squares in 10 ways, for example, as 746496 + 47196693504 = 864^2 + 217248^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

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, 195839880 + ... + 195840120.

Almost surely, 247197440000 is an apocalyptic number.

47197440000 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 47197440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90553693230).

47197440000 is an abundant number, since it is smaller than the sum of its proper divisors (133909946460).

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

47197440000 is a wasteful number, since it uses less digits than its factorization.

47197440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 47197440000 in words is "forty-seven billion, one hundred ninety-seven million, four hundred forty thousand".