Search a number
-
+
5977331712 = 211331131317
BaseRepresentation
bin1011001000100011…
…01101100000000000
3120102120101220122000
411210101231200000
544220144103322
62425042544000
7301060324032
oct54421554000
916376356560
105977331712
112598058870
1211a9968000
1374348cc91
14409bcbc52
1524eb5b3ac
hex16446d800

5977331712 has 384 divisors, whose sum is σ = 20001945600. Its totient is φ = 1747353600.

The previous prime is 5977331707. The next prime is 5977331719. The reversal of 5977331712 is 2171337795.

5977331712 is a `hidden beast` number, since 597 + 7 + 33 + 17 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5977331719) 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 31 ways as a sum of consecutive naturals, for example, 18855778 + ... + 18856094.

It is an arithmetic number, because the mean of its divisors is an integer number (52088400).

Almost surely, 25977331712 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 5977331712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10000972800).

5977331712 is an abundant number, since it is smaller than the sum of its proper divisors (14024613888).

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

5977331712 is a wasteful number, since it uses less digits than its factorization.

5977331712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 364 counting only the distinct ones).

The product of its digits is 277830, while the sum is 45.

The square root of 5977331712 is about 77313.2052886181. The cubic root of 5977331712 is about 1814.8293152789.

The spelling of 5977331712 in words is "five billion, nine hundred seventy-seven million, three hundred thirty-one thousand, seven hundred twelve".