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5016576240 = 24345131731113
BaseRepresentation
bin1001010110000001…
…01110000011110000
3110221121120110220000
410223000232003300
540233220414430
62145442350000
7235213123464
oct45300560360
913847513800
105016576240
1121447a9a85
12b8005b300
1361c413810
143583784a4
151e562ce60
hex12b02e0f0

5016576240 has 800 divisors, whose sum is σ = 20689675776. Its totient is φ = 1114767360.

The previous prime is 5016576221. The next prime is 5016576247. The reversal of 5016576240 is 426756105.

It is a happy number.

5016576240 is a `hidden beast` number, since 50 + 16 + 576 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5016576195 and 5016576204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016576247) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 44394424 + ... + 44394536.

Almost surely, 25016576240 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 5016576240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10344837888).

5016576240 is an abundant number, since it is smaller than the sum of its proper divisors (15673099536).

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

5016576240 is a wasteful number, since it uses less digits than its factorization.

5016576240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5016576240 is about 70827.7928499823. The cubic root of 5016576240 is about 1711.8635270576.

The spelling of 5016576240 in words is "five billion, sixteen million, five hundred seventy-six thousand, two hundred forty".