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47011144440 = 233513197321727
BaseRepresentation
bin101011110010000101…
…010010001011111000
311111100021202120120210
4223302011102023320
51232234323110230
633332511551120
73252660064101
oct536205221370
9144307676523
1047011144440
1118a34624697
12913bb2b4a0
13458278ac40
1423bd7c93a8
1513522a2eb0
hexaf21522f8

47011144440 has 256 divisors, whose sum is σ = 162073497600. Its totient is φ = 10812248064.

The previous prime is 47011144333. The next prime is 47011144441. The reversal of 47011144440 is 4444111074.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 47011144398 and 47011144407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47011144441) 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 63 ways as a sum of consecutive naturals, for example, 2152857 + ... + 2174583.

It is an arithmetic number, because the mean of its divisors is an integer number (633099600).

Almost surely, 247011144440 is an apocalyptic number.

47011144440 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 47011144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81036748800).

47011144440 is an abundant number, since it is smaller than the sum of its proper divisors (115062353160).

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

47011144440 is a wasteful number, since it uses less digits than its factorization.

47011144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21846 (or 21842 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The spelling of 47011144440 in words is "forty-seven billion, eleven million, one hundred forty-four thousand, four hundred forty".