Search a number
-
+
57879232784736 = 2531135926928541
BaseRepresentation
bin11010010100100000011110…
…00111000010100101100000
321120221012102020201111000120
431022100033013002211200
530041243132043102421
6323033204044520240
715122431226145636
oct1512201707024540
9246835366644016
1057879232784736
1117495498aa9000
1265a9471b50080
13263acb01b853c
141041526aab356
156a58895c18c6
hex34a40f1c2960

57879232784736 has 384 divisors, whose sum is σ = 170585076211200. Its totient is φ = 17177189427200.

The previous prime is 57879232784719. The next prime is 57879232784741. The reversal of 57879232784736 is 63748723297875.

57879232784736 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2027918626 + ... + 2027947166.

It is an arithmetic number, because the mean of its divisors is an integer number (444231969300).

Almost surely, 257879232784736 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 57879232784736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85292538105600).

57879232784736 is an abundant number, since it is smaller than the sum of its proper divisors (112705843426464).

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

57879232784736 is a wasteful number, since it uses less digits than its factorization.

57879232784736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28915 (or 28885 counting only the distinct ones).

The product of its digits is 5974456320, while the sum is 78.

The spelling of 57879232784736 in words is "fifty-seven trillion, eight hundred seventy-nine billion, two hundred thirty-two million, seven hundred eighty-four thousand, seven hundred thirty-six".