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5977000050 = 23527192910331
BaseRepresentation
bin1011001000100000…
…11100100001110010
3120102112210001200020
411210100130201302
544220103000200
62425031504310
7301054443060
oct54420344162
916375701606
105977000050
11259795166a
1211a9828096
137433a5028
14409b43030
1524eae2ea0
hex16441c872

5977000050 has 192 divisors, whose sum is σ = 18448819200. Its totient is φ = 1249516800.

The previous prime is 5977000033. The next prime is 5977000061. The reversal of 5977000050 is 500007795.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5976999975 and 5977000020.

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 95 ways as a sum of consecutive naturals, for example, 573385 + ... + 583715.

It is an arithmetic number, because the mean of its divisors is an integer number (96087600).

Almost surely, 25977000050 is an apocalyptic number.

5977000050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5977000050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9224409600).

5977000050 is an abundant number, since it is smaller than the sum of its proper divisors (12471819150).

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

5977000050 is a wasteful number, since it uses less digits than its factorization.

5977000050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10401 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 33.

The square root of 5977000050 is about 77311.0603342109. The cubic root of 5977000050 is about 1814.7957484032.

The spelling of 5977000050 in words is "five billion, nine hundred seventy-seven million, fifty", and thus it is an aban number.