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47083442112 = 2632771164471
BaseRepresentation
bin101011110110011001…
…000100111111000000
311111112022210200100100
4223312121010333000
51232411330121422
633344013322400
73254525440350
oct536631047700
9144468720310
1047083442112
1118a71414a33
129160196400
134594752525
1423c9248b60
1513587d47ac
hexaf6644fc0

47083442112 has 168 divisors, whose sum is σ = 156408924672. Its totient is φ = 13262860800.

The previous prime is 47083442111. The next prime is 47083442171. The reversal of 47083442112 is 21124438074.

47083442112 is a `hidden beast` number, since 470 + 8 + 34 + 42 + 112 = 666.

47083442112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×470834421122 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47083442111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204037 + ... + 368507.

It is an arithmetic number, because the mean of its divisors is an integer number (931005504).

Almost surely, 247083442112 is an apocalyptic number.

47083442112 is a gapful number since it is divisible by the number (42) 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 47083442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78204462336).

47083442112 is an abundant number, since it is smaller than the sum of its proper divisors (109325482560).

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

47083442112 is a wasteful number, since it uses less digits than its factorization.

47083442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164567 (or 164554 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 47083442112 in words is "forty-seven billion, eighty-three million, four hundred forty-two thousand, one hundred twelve".