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57230193324096 = 2632132242472
BaseRepresentation
bin11010000001100111100010…
…10101111111000001000000
321111122011010120110201012100
431000303301111333001000
530000124413442332341
6321415104324430400
715024513353565312
oct1500636125770100
9244564116421170
1057230193324096
1117265209163941
126503717b48400
1325c1a267c0300
14101bd558d17b2
15693a4e3983b6
hex340cf157f040

57230193324096 has 189 divisors, whose sum is σ = 177636455801181. Its totient is φ = 17608564007424.

The previous prime is 57230193324091. The next prime is 57230193324107. The reversal of 57230193324096 is 69042339103275.

The square root of 57230193324096 is 7565064.

It is a perfect power (a square), and thus also a powerful number.

57230193324096 is a `hidden beast` number, since 5 + 7 + 2 + 301 + 9 + 3 + 3 + 240 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8466004929600 + 48764188394496 = 2909640^2 + 6983136^2 .

It is not an unprimeable number, because it can be changed into a prime (57230193324091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2360287845 + ... + 2360312091.

Almost surely, 257230193324096 is an apocalyptic number.

57230193324096 is the 7565064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57230193324096

57230193324096 is an abundant number, since it is smaller than the sum of its proper divisors (120406262477085).

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

57230193324096 is an frugal number, since it uses more digits than its factorization.

57230193324096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48538 (or 24265 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 57230193324096 in words is "fifty-seven trillion, two hundred thirty billion, one hundred ninety-three million, three hundred twenty-four thousand, ninety-six".