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5009674752 = 293243131193
BaseRepresentation
bin1001010101001100…
…11001001000000000
3110221010120211211100
410222212121020000
540224434043002
62145034414400
7235100350515
oct45246311000
913833524740
105009674752
112140915875
12b79891400
1361ab683b4
1435749d30c
151e4c1811c
hex12a999200

5009674752 has 240 divisors, whose sum is σ = 14984674848. Its totient is φ = 1610219520.

The previous prime is 5009674751. The next prime is 5009674793. The reversal of 5009674752 is 2574769005.

5009674752 is a `hidden beast` number, since 500 + 9 + 6 + 74 + 75 + 2 = 666.

It is a super-2 number, since 2×50096747522 = 50193682241652523008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5009674698 and 5009674707.

It is not an unprimeable number, because it can be changed into a prime (5009674751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25956768 + ... + 25956960.

Almost surely, 25009674752 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 5009674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7492337424).

5009674752 is an abundant number, since it is smaller than the sum of its proper divisors (9975000096).

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

5009674752 is a wasteful number, since it uses less digits than its factorization.

5009674752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5009674752 is about 70779.0558851981. The cubic root of 5009674752 is about 1711.0781422981.

The spelling of 5009674752 in words is "five billion, nine million, six hundred seventy-four thousand, seven hundred fifty-two".