Search a number
-
+
6145550208 = 273273103151
BaseRepresentation
bin1011011100100110…
…11010011110000000
3120212021221022000200
411232103122132000
5100041230101313
62453452245200
7305202213000
oct55623323600
916767838020
106145550208
112674003916
121236170800
1376c29a455
1442429a000
1525e7d8b73
hex16e4da780

6145550208 has 384 divisors, whose sum is σ = 20961408000. Its totient is φ = 1727308800.

The previous prime is 6145550107. The next prime is 6145550221. The reversal of 6145550208 is 8020555416.

6145550208 is a `hidden beast` number, since 6 + 145 + 5 + 502 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 40698933 + ... + 40699083.

It is an arithmetic number, because the mean of its divisors is an integer number (54587000).

Almost surely, 26145550208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6145550208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480704000).

6145550208 is an abundant number, since it is smaller than the sum of its proper divisors (14815857792).

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

6145550208 is a wasteful number, since it uses less digits than its factorization.

6145550208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 6145550208 is about 78393.5597354783. The cubic root of 6145550208 is about 1831.6968155116.

The spelling of 6145550208 in words is "six billion, one hundred forty-five million, five hundred fifty thousand, two hundred eight".