Search a number
-
+
53788054320 = 243357111324877
BaseRepresentation
bin110010000110000001…
…001001001100110000
312010211120201021021000
4302012001021030300
51340124220214240
640413200402000
73612626626620
oct620601111460
9163746637230
1053788054320
11208a1a55360
12a511616300
1350c27b3aa0
142863872880
1515ec201430
hexc86049330

53788054320 has 640 divisors, whose sum is σ = 248764078080. Its totient is φ = 10316574720.

The previous prime is 53788054303. The next prime is 53788054361. The reversal of 53788054320 is 2345088735.

53788054320 is a `hidden beast` number, since 5 + 3 + 7 + 8 + 80 + 543 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2149722 + ... + 2174598.

It is an arithmetic number, because the mean of its divisors is an integer number (388693872).

Almost surely, 253788054320 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 53788054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124382039040).

53788054320 is an abundant number, since it is smaller than the sum of its proper divisors (194976023760).

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

53788054320 is a wasteful number, since it uses less digits than its factorization.

53788054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24930 (or 24918 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 53788054320 in words is "fifty-three billion, seven hundred eighty-eight million, fifty-four thousand, three hundred twenty".