Search a number
-
+
57394522999296 = 2936721928693
BaseRepresentation
bin11010000110011001101000…
…01001111100101000000000
321112012212021222202011000000
431003030310021330220000
530010322440341434141
6322022402504000000
715042421533021300
oct1503146411745000
9245185258664000
1057394522999296
1117318975a6306a
12652b539760000
132604384a69602
141025ca4455600
15697e6aecc5b6
hex34333427ca00

57394522999296 has 1260 divisors, whose sum is σ = 211113138820122. Its totient is φ = 15533572497408.

The previous prime is 57394522999267. The next prime is 57394522999301. The reversal of 57394522999296 is 69299922549375.

57394522999296 is a `hidden beast` number, since 5 + 7 + 39 + 4 + 5 + 2 + 299 + 9 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56651754813696 + 742768185600 = 7526736^2 + 861840^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 6602379526 + ... + 6602388218.

Almost surely, 257394522999296 is an apocalyptic number.

57394522999296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57394522999296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105556569410061).

57394522999296 is an abundant number, since it is smaller than the sum of its proper divisors (153718615820826).

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

57394522999296 is an frugal number, since it uses more digits than its factorization.

57394522999296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781 (or 8724 counting only the distinct ones).

The product of its digits is 5952139200, while the sum is 81.

The spelling of 57394522999296 in words is "fifty-seven trillion, three hundred ninety-four billion, five hundred twenty-two million, nine hundred ninety-nine thousand, two hundred ninety-six".