Search a number
-
+
28571163040000 = 285472232832
BaseRepresentation
bin1100111111100001111100…
…00001100001100100000000
310202011101011110212121120201
412133300332001201210000
512221102220214240000
6140433224444214544
76006125024541400
oct637607601414400
9122141143777521
1028571163040000
119115a64761a19
12325534883a454
1312c33313c3849
1470abccda4800
153483051c996a
hex19fc3e061900

28571163040000 has 1215 divisors, whose sum is σ = 87718578696903. Its totient is φ = 9257031168000.

The previous prime is 28571163039997. The next prime is 28571163040001. The reversal of 28571163040000 is 4036117582.

The square root of 28571163040000 is 5345200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2239979182336 + 26331183857664 = 1496656^2 + 5131392^2 .

It is a super-2 number, since 2×285711630400002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28571163040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 344230879959 + ... + 344230880041.

Almost surely, 228571163040000 is an apocalyptic number.

28571163040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28571163040000 is the 5345200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28571163040000

28571163040000 is an abundant number, since it is smaller than the sum of its proper divisors (59147415656903).

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

28571163040000 is an frugal number, since it uses more digits than its factorization.

28571163040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 28571163040000 its reverse (4036117582), we get a palindrome (28575199157582).

The spelling of 28571163040000 in words is "twenty-eight trillion, five hundred seventy-one billion, one hundred sixty-three million, forty thousand".