Search a number
-
+
6149669820 = 22357291014999
BaseRepresentation
bin1011011101000110…
…01000001110111100
3120212120200121001220
411232203020032330
5100043303413240
62454120433340
7305252221350
oct55643101674
916776617056
106149669820
112676367a58
121237618850
137700b05a8
14424a4d460
1525ed4e5d0
hex16e8c83bc

6149669820 has 192 divisors, whose sum is σ = 20563200000. Its totient is φ = 1343462400.

The previous prime is 6149669797. The next prime is 6149669821. The reversal of 6149669820 is 289669416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6149669821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1227681 + ... + 1232679.

It is an arithmetic number, because the mean of its divisors is an integer number (107100000).

Almost surely, 26149669820 is an apocalyptic number.

6149669820 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 6149669820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600000).

6149669820 is an abundant number, since it is smaller than the sum of its proper divisors (14413530180).

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

6149669820 is a wasteful number, since it uses less digits than its factorization.

6149669820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 6149669820 is about 78419.8305277434. The cubic root of 6149669820 is about 1832.1060110244.

The spelling of 6149669820 in words is "six billion, one hundred forty-nine million, six hundred sixty-nine thousand, eight hundred twenty".