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47483681280 = 2935721929229
BaseRepresentation
bin101100001110001111…
…110111101000000000
311112120012220221021020
4230032033313220000
51234221310300110
633451432025440
73300455426400
oct541617675000
9145505827236
1047483681280
1119157333602
129252232280
134629648939
142426472800
15137d9e3d70
hexb0e3f7a00

47483681280 has 960 divisors, whose sum is σ = 193126032000. Its totient is φ = 9884270592.

The previous prime is 47483681279. The next prime is 47483681281. The reversal of 47483681280 is 8218638474.

It is an interprime number because it is at equal distance from previous prime (47483681279) and next prime (47483681281).

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47483681281) 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 95 ways as a sum of consecutive naturals, for example, 207352206 + ... + 207352434.

It is an arithmetic number, because the mean of its divisors is an integer number (201172950).

Almost surely, 247483681280 is an apocalyptic number.

47483681280 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 47483681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96563016000).

47483681280 is an abundant number, since it is smaller than the sum of its proper divisors (145642350720).

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

47483681280 is a wasteful number, since it uses less digits than its factorization.

47483681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 47483681280 in words is "forty-seven billion, four hundred eighty-three million, six hundred eighty-one thousand, two hundred eighty".