Search a number
-
+
53760172032 = 213327223647
BaseRepresentation
bin110010000100010110…
…110010000000000000
312010202122020200221200
4302010112302000000
51340100101001112
640410323021200
73612140631300
oct620426620000
9163678220850
1053760172032
1120888240a46
12a50420a800
1350b9aa09a8
14285dc95600
1515e9a44cdc
hexc845b2000

53760172032 has 504 divisors, whose sum is σ = 188798216256. Its totient is φ = 14669512704.

The previous prime is 53760171989. The next prime is 53760172091. The reversal of 53760172032 is 23027106735.

53760172032 is a `hidden beast` number, since 537 + 60 + 17 + 20 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83091133 + ... + 83091779.

Almost surely, 253760172032 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 53760172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94399108128).

53760172032 is an abundant number, since it is smaller than the sum of its proper divisors (135038044224).

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

53760172032 is a wasteful number, since it uses less digits than its factorization.

53760172032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 53760172032 its reverse (23027106735), we get a palindrome (76787278767).

The spelling of 53760172032 in words is "fifty-three billion, seven hundred sixty million, one hundred seventy-two thousand, thirty-two".