Search a number
-
+
6149210496 = 2731113113991
BaseRepresentation
bin1011011101000010…
…11000000110000000
3120212112211020222220
411232201120012000
5100043144213441
62454102531040
7305245266252
oct55641300600
916775736886
106149210496
112676083950
121237436a80
1376cc7c4c0
1442496dcd2
1525ecad466
hex16e858180

6149210496 has 256 divisors, whose sum is σ = 19378759680. Its totient is φ = 1703116800.

The previous prime is 6149210479. The next prime is 6149210503. The reversal of 6149210496 is 6940129416.

It is a super-4 number, since 4×61492104964 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6204561 + ... + 6205551.

It is an arithmetic number, because the mean of its divisors is an integer number (75698280).

Almost surely, 26149210496 is an apocalyptic number.

6149210496 is a gapful number since it is divisible by the number (66) 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 6149210496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689379840).

6149210496 is an abundant number, since it is smaller than the sum of its proper divisors (13229549184).

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

6149210496 is a wasteful number, since it uses less digits than its factorization.

6149210496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 6149210496 is about 78416.9018515779. The cubic root of 6149210496 is about 1832.0603960435.

The spelling of 6149210496 in words is "six billion, one hundred forty-nine million, two hundred ten thousand, four hundred ninety-six".