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5122435968 = 273213283317
BaseRepresentation
bin1001100010101001…
…00010101110000000
3111012222202201010200
410301110202232000
540442320422333
62204143325200
7240636662436
oct46124425600
914188681120
105122435968
112199532a61
12bab5b0800
13638329500
14368452d56
151eea8dc13
hex131522b80

5122435968 has 288 divisors, whose sum is σ = 16204701240. Its totient is φ = 1552232448.

The previous prime is 5122435957. The next prime is 5122435987. The reversal of 5122435968 is 8695342215.

5122435968 is a `hidden beast` number, since 5 + 12 + 2 + 43 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16158946 + ... + 16159262.

Almost surely, 25122435968 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 5122435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102350620).

5122435968 is an abundant number, since it is smaller than the sum of its proper divisors (11082265272).

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

5122435968 is a wasteful number, since it uses less digits than its factorization.

5122435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 418 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 5122435968 is about 71571.1950997047. The cubic root of 5122435968 is about 1723.8210489980.

The spelling of 5122435968 in words is "five billion, one hundred twenty-two million, four hundred thirty-five thousand, nine hundred sixty-eight".