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47220290208 = 253272131922331
BaseRepresentation
bin101011111110100011…
…000111001010100000
311111212212022021122100
4223332203013022200
51233201343241313
633405342410400
73261106562400
oct537643071240
9144785267570
1047220290208
1119031693a33
129199b90a00
1345b6bc8030
1423dd4ac800
151365817173
hexafe8c72a0

47220290208 has 1296 divisors, whose sum is σ = 191237469696. Its totient is φ = 10921236480.

The previous prime is 47220290179. The next prime is 47220290233. The reversal of 47220290208 is 80209202274.

It is a happy number.

47220290208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1523235153 + ... + 1523235183.

It is an arithmetic number, because the mean of its divisors is an integer number (147559776).

Almost surely, 247220290208 is an apocalyptic number.

47220290208 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 47220290208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618734848).

47220290208 is an abundant number, since it is smaller than the sum of its proper divisors (144017179488).

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

47220290208 is a wasteful number, since it uses less digits than its factorization.

47220290208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 47220290208 in words is "forty-seven billion, two hundred twenty million, two hundred ninety thousand, two hundred eight".