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47019942144 = 2832721093821
BaseRepresentation
bin101011110010100110…
…110110000100000000
311111100220022112202200
4223302212312010000
51232244101122034
633333424313200
73253124625300
oct536246660400
9144326275680
1047019942144
1118a3959351a
129142a72800
13458454b496
1423c0a39600
151352e3ea99
hexaf29b6100

47019942144 has 324 divisors, whose sum is σ = 159192453420. Its totient is φ = 13307535360.

The previous prime is 47019942131. The next prime is 47019942169. The reversal of 47019942144 is 44124991074.

It can be written as a sum of positive squares in 2 ways, for example, as 37978214400 + 9041727744 = 194880^2 + 95088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47019942144.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12303754 + ... + 12307574.

Almost surely, 247019942144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47019942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79596226710).

47019942144 is an abundant number, since it is smaller than the sum of its proper divisors (112172511276).

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

47019942144 is a wasteful number, since it uses less digits than its factorization.

47019942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47019942144 in words is "forty-seven billion, nineteen million, nine hundred forty-two thousand, one hundred forty-four".