Search a number
-
+
5482653834240 = 2103351111331907
BaseRepresentation
bin100111111001000011110…
…1000100101110000000000
3201102010200120110022121000
41033302013220211300000
51204311433340143430
615354410231132000
71104052162442622
oct117620750456000
921363616408530
105482653834240
1118241a917a980
127466a9814000
1330a0205a8a1b
1414d50cd3ac12
159793a59ee60
hex4fc87a25c00

5482653834240 has 704 divisors, whose sum is σ = 21444442744320. Its totient is φ = 1317324718080.

The previous prime is 5482653834239. The next prime is 5482653834247. The reversal of 5482653834240 is 424383562845.

5482653834240 is a `hidden beast` number, since 5 + 4 + 8 + 26 + 538 + 3 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×54826538342402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5482653834247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171816367 + ... + 171848273.

Almost surely, 25482653834240 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 5482653834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10722221372160).

5482653834240 is an abundant number, since it is smaller than the sum of its proper divisors (15961788910080).

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

5482653834240 is a wasteful number, since it uses less digits than its factorization.

5482653834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32065 (or 32041 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 5482653834240 in words is "five trillion, four hundred eighty-two billion, six hundred fifty-three million, eight hundred thirty-four thousand, two hundred forty".