Search a number
-
+
6145490208 = 25311131721549
BaseRepresentation
bin1011011100100110…
…01011110100100000
3120212021211020201110
411232103023310200
5100041221141313
62453451103320
7305201543034
oct55623136440
916767736643
106145490208
112673a72830
121236141b40
1376c279050
144242821c4
1525e7c5ec3
hex16e4cbd20

6145490208 has 288 divisors, whose sum is σ = 20145585600. Its totient is φ = 1616855040.

The previous prime is 6145490161. The next prime is 6145490227. The reversal of 6145490208 is 8020945416.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3966618 + ... + 3968166.

It is an arithmetic number, because the mean of its divisors is an integer number (69949950).

Almost surely, 26145490208 is an apocalyptic number.

6145490208 is a gapful number since it is divisible by the number (68) 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 6145490208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072792800).

6145490208 is an abundant number, since it is smaller than the sum of its proper divisors (14000095392).

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

6145490208 is a wasteful number, since it uses less digits than its factorization.

6145490208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6145490208 is about 78393.1770500469. The cubic root of 6145490208 is about 1831.6908544415.

The spelling of 6145490208 in words is "six billion, one hundred forty-five million, four hundred ninety thousand, two hundred eight".