Search a number
-
+
53789377200 = 243521331111227
BaseRepresentation
bin110010000110000110…
…001100001010110000
312010211200012110220120
4302012012030022300
51340130040032300
640413245010240
73612644106456
oct620606141260
9163750173816
1053789377200
11208a2779249
12a511b53980
1350c2b57c60
142863ad89d6
1515ec3b33a0
hexc8618c2b0

53789377200 has 240 divisors, whose sum is σ = 191547073536. Its totient is φ = 12813235200.

The previous prime is 53789377183. The next prime is 53789377217. The reversal of 53789377200 is 277398735.

It is an interprime number because it is at equal distance from previous prime (53789377183) and next prime (53789377217).

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

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 47 ways as a sum of consecutive naturals, for example, 427987 + ... + 539213.

Almost surely, 253789377200 is an apocalyptic number.

53789377200 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 53789377200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95773536768).

53789377200 is an abundant number, since it is smaller than the sum of its proper divisors (137757696336).

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

53789377200 is a wasteful number, since it uses less digits than its factorization.

53789377200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111292 (or 111281 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 53789377200 in words is "fifty-three billion, seven hundred eighty-nine million, three hundred seventy-seven thousand, two hundred".