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5016642240 = 2635231271789
BaseRepresentation
bin1001010110000001…
…11110001011000000
3110221121200211102110
410223000332023000
540233230022430
62145444015320
7235213520061
oct45300761300
913847624373
105016642240
112144844625
12b80091540
1361c43787c
14358394568
151e56427b0
hex12b03e2c0

5016642240 has 224 divisors, whose sum is σ = 16760586240. Its totient is φ = 1268822016.

The previous prime is 5016642229. The next prime is 5016642287. The reversal of 5016642240 is 422466105.

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 = 5016642198 and 5016642207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2803266 + ... + 2805054.

Almost surely, 25016642240 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 5016642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380293120).

5016642240 is an abundant number, since it is smaller than the sum of its proper divisors (11743944000).

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

5016642240 is a wasteful number, since it uses less digits than its factorization.

5016642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5016642240 is about 70828.2587672463. The cubic root of 5016642240 is about 1711.8710343356.

The spelling of 5016642240 in words is "five billion, sixteen million, six hundred forty-two thousand, two hundred forty".