Search a number
-
+
57131280000 = 27325479349
BaseRepresentation
bin110101001101010010…
…100010011010000000
312110110120120201201100
4311031102202122000
51414001101430000
642125025334400
74061523603354
oct651522423200
9173416521640
1057131280000
1122258133293
12b0a5197400
13550631bc32
142a9d8a1464
151745991a00
hexd4d4a2680

57131280000 has 240 divisors, whose sum is σ = 205438340250. Its totient is φ = 15234816000.

The previous prime is 57131279999. The next prime is 57131280029. The reversal of 57131280000 is 8213175.

57131280000 is a `hidden beast` number, since 571 + 3 + 12 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2274145344 + 54857134656 = 47688^2 + 234216^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 680326 + ... + 759674.

Almost surely, 257131280000 is an apocalyptic number.

57131280000 is a gapful number since it is divisible by the number (50) 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 57131280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102719170125).

57131280000 is an abundant number, since it is smaller than the sum of its proper divisors (148307060250).

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

57131280000 is an equidigital number, since it uses as much as digits as its factorization.

57131280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79389 (or 79359 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 57131280000 its reverse (8213175), we get a palindrome (57139493175).

The spelling of 57131280000 in words is "fifty-seven billion, one hundred thirty-one million, two hundred eighty thousand".