Search a number
-
+
486487538127360 = 293357211371392539
BaseRepresentation
bin110111010011101010011010…
…0111001011101001000000000
32100210111202100222122200102000
41232213110310321131020000
51002231102434230033420
64442401142324424000
7204320364465221400
oct15647246471351000
92323452328580360
10486487538127360
1113101222a629290
1246690664248000
1317b5b768b30293
14881c1a0124800
153b399cd57b690
hex1ba7534e5d200

486487538127360 has 3840 divisors, whose sum is σ = 2269281256704000. Its totient is φ = 97610144808960.

The previous prime is 486487538127329. The next prime is 486487538127361. The reversal of 486487538127360 is 63721835784684.

486487538127360 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 8 + 7 + 538 + 1 + 27 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (486487538127361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 191605960971 + ... + 191605963509.

It is an arithmetic number, because the mean of its divisors is an integer number (590958660600).

Almost surely, 2486487538127360 is an apocalyptic number.

486487538127360 is a gapful number since it is divisible by the number (40) 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 486487538127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134640628352000).

486487538127360 is an abundant number, since it is smaller than the sum of its proper divisors (1782793718576640).

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

486487538127360 is a wasteful number, since it uses less digits than its factorization.

486487538127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 486487538127360 in words is "four hundred eighty-six trillion, four hundred eighty-seven billion, five hundred thirty-eight million, one hundred twenty-seven thousand, three hundred sixty".