Search a number
-
+
53563023360 = 2133357111737
BaseRepresentation
bin110001111000100110…
…101110000000000000
312010020220021111211000
4301320212232000000
51334144113221420
640335001252000
73604225120650
oct617046560000
9163226244730
1053563023360
1120796a26260
12a46a194000
135087ca4482
142841a16360
1515d75a0690
hexc789ae000

53563023360 has 1792 divisors, whose sum is σ = 258185594880. Its totient is φ = 10192158720.

The previous prime is 53563023341. The next prime is 53563023421. The reversal of 53563023360 is 6332036535.

53563023360 is a `hidden beast` number, since 5 + 3 + 563 + 0 + 2 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1447649262 + ... + 1447649298.

Almost surely, 253563023360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53563023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129092797440).

53563023360 is an abundant number, since it is smaller than the sum of its proper divisors (204622571520).

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

53563023360 is a wasteful number, since it uses less digits than its factorization.

53563023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Adding to 53563023360 its reverse (6332036535), we get a palindrome (59895059895).

The spelling of 53563023360 in words is "fifty-three billion, five hundred sixty-three million, twenty-three thousand, three hundred sixty".