Search a number
-
+
6091663441920 = 21535723141199
BaseRepresentation
bin101100010100101001101…
…1011111000000000000000
3210120100122111110212100120
41120221103123320000000
51244301211320120140
620542245504420240
71166052045625500
oct130512333700000
923510574425316
106091663441920
111a39507227031
12824731917680
1335259799b624
14170ba39b7a00
15a86d13961d0
hex58a536f8000

6091663441920 has 1536 divisors, whose sum is σ = 24098425344000. Its totient is φ = 1307993702400.

The previous prime is 6091663441891. The next prime is 6091663441921. The reversal of 6091663441920 is 291443661906.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6091663441921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30611373981 + ... + 30611374179.

It is an arithmetic number, because the mean of its divisors is an integer number (15689079000).

Almost surely, 26091663441920 is an apocalyptic number.

6091663441920 is a gapful number since it is divisible by the number (60) 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 6091663441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12049212672000).

6091663441920 is an abundant number, since it is smaller than the sum of its proper divisors (18006761902080).

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

6091663441920 is a wasteful number, since it uses less digits than its factorization.

6091663441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 6091663441920 in words is "six trillion, ninety-one billion, six hundred sixty-three million, four hundred forty-one thousand, nine hundred twenty".