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47207820288 = 2103292771913
BaseRepresentation
bin101011111101110011…
…100010110000000000
311111211222211202010110
4223331303202300000
51233140200222123
633404215231320
73260565565056
oct537563426000
9144758752113
1047207820288
1119025647112
129195978540
1345b4450195
1423db9841d6
1513646a2493
hexafdce2c00

47207820288 has 176 divisors, whose sum is σ = 130703078880. Its totient is φ = 15130558464.

The previous prime is 47207820287. The next prime is 47207820377. The reversal of 47207820288 is 88202870274.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (47207820281) 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 15 ways as a sum of consecutive naturals, for example, 24676420 + ... + 24678332.

It is an arithmetic number, because the mean of its divisors is an integer number (742631130).

Almost surely, 247207820288 is an apocalyptic number.

47207820288 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 47207820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65351539440).

47207820288 is an abundant number, since it is smaller than the sum of its proper divisors (83495258592).

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

47207820288 is a wasteful number, since it uses less digits than its factorization.

47207820288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 47207820288 in words is "forty-seven billion, two hundred seven million, eight hundred twenty thousand, two hundred eighty-eight".