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5014005120 = 273254718521
BaseRepresentation
bin1001010101101101…
…11010010110000000
3110221102201211222100
410222312322112000
540232041130440
62145311310400
7235152224505
oct45266722600
913842654870
105014005120
112143303293
12b7b21b400
1361ba23447
14357ca94ac
151e52c1230
hex12adba580

5014005120 has 192 divisors, whose sum is σ = 17683323840. Its totient is φ = 1308549120.

The previous prime is 5014005119. The next prime is 5014005121. The reversal of 5014005120 is 215004105.

5014005120 is a `hidden beast` number, since 501 + 40 + 0 + 5 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (5014005119) and next prime (5014005121).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5014005093 and 5014005102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5014005121) 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, 261460 + ... + 279980.

It is an arithmetic number, because the mean of its divisors is an integer number (92100645).

Almost surely, 25014005120 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 5014005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841661920).

5014005120 is an abundant number, since it is smaller than the sum of its proper divisors (12669318720).

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

5014005120 is a wasteful number, since it uses less digits than its factorization.

5014005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18593 (or 18578 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5014005120 is about 70809.6400216807. The cubic root of 5014005120 is about 1711.5710195453.

Adding to 5014005120 its reverse (215004105), we get a palindrome (5229009225).

The spelling of 5014005120 in words is "five billion, fourteen million, five thousand, one hundred twenty".