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47426881248 = 25321753193947
BaseRepresentation
bin101100001010110111…
…001100011011100000
311112102021001012021100
4230022313030123200
51234112240144443
633442042354400
73266165560545
oct541267143340
9145367035240
1047426881248
111912826892a
1292371bba00
13461a94c356
14241cac8bcc
151378a243d3
hexb0adcc6e0

47426881248 has 288 divisors, whose sum is σ = 146406458016. Its totient is φ = 14507311104.

The previous prime is 47426881247. The next prime is 47426881259. The reversal of 47426881248 is 84218862474.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47426881194 and 47426881203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47426881247) 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 47 ways as a sum of consecutive naturals, for example, 50080711 + ... + 50081657.

It is an arithmetic number, because the mean of its divisors is an integer number (508355757).

Almost surely, 247426881248 is an apocalyptic number.

47426881248 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 47426881248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73203229008).

47426881248 is an abundant number, since it is smaller than the sum of its proper divisors (98979576768).

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

47426881248 is a wasteful number, since it uses less digits than its factorization.

47426881248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1215 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 47426881248 in words is "forty-seven billion, four hundred twenty-six million, eight hundred eighty-one thousand, two hundred forty-eight".