Search a number
-
+
57050210304 = 2133641233
BaseRepresentation
bin110101001000011101…
…010010000000000000
312110020221000222000000
4311020131102000000
51413314323212204
642113012000000
74056520533513
oct651035220000
9173227028000
1057050210304
11222163a143a
12b082000000
1354c25a59b9
142a92bdad7a
15173d7cb039
hexd48752000

57050210304 has 392 divisors, whose sum is σ = 175986251532. Its totient is φ = 18473287680.

The previous prime is 57050210281. The next prime is 57050210323. The reversal of 57050210304 is 40301205075.

It is a happy number.

57050210304 is a `hidden beast` number, since 57 + 0 + 502 + 103 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46656000000 + 10394210304 = 216000^2 + 101952^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 244850572 + ... + 244850804.

Almost surely, 257050210304 is an apocalyptic number.

57050210304 is a gapful number since it is divisible by the number (54) 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 57050210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87993125766).

57050210304 is an abundant number, since it is smaller than the sum of its proper divisors (118936041228).

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

57050210304 is an frugal number, since it uses more digits than its factorization.

57050210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 57050210304 its reverse (40301205075), we get a palindrome (97351415379).

The spelling of 57050210304 in words is "fifty-seven billion, fifty million, two hundred ten thousand, three hundred four".