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5129672064 = 273112113977
BaseRepresentation
bin1001100011100000…
…01001010110000000
3111020111101100012020
410301300021112000
541001144001224
62205002401440
7241055331066
oct46160112600
914214340166
105129672064
1121a2625600
12bb1b00280
1363999101a
143693b8036
1520051cc79
hex131c09580

5129672064 has 192 divisors, whose sum is σ = 15125004720. Its totient is φ = 1539112960.

The previous prime is 5129672063. The next prime is 5129672069. The reversal of 5129672064 is 4602769215.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129672063) 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, 5249944 + ... + 5250920.

Almost surely, 25129672064 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 5129672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562502360).

5129672064 is an abundant number, since it is smaller than the sum of its proper divisors (9995332656).

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

5129672064 is a wasteful number, since it uses less digits than its factorization.

5129672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5129672064 is about 71621.7289933718. The cubic root of 5129672064 is about 1724.6323729917.

The spelling of 5129672064 in words is "five billion, one hundred twenty-nine million, six hundred seventy-two thousand, sixty-four".