Search a number
-
+
6164909568 = 29334173149
BaseRepresentation
bin1011011110111010…
…10000111000000000
3120220122100212002000
411233131100320000
5100111204101233
62455423224000
7305525603166
oct55735207000
916818325060
106164909568
112683a26894
121240748000
137732b80ac
14426a99236
1526135ed13
hex16f750e00

6164909568 has 320 divisors, whose sum is σ = 19076904000. Its totient is φ = 1964113920.

The previous prime is 6164909561. The next prime is 6164909579. The reversal of 6164909568 is 8659094616.

It is a happy number.

6164909568 is a `hidden beast` number, since 6 + 1 + 6 + 490 + 95 + 68 = 666.

It is a super-2 number, since 2×61649095682 = 76012219963235893248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6164909561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41375158 + ... + 41375306.

It is an arithmetic number, because the mean of its divisors is an integer number (59615325).

Almost surely, 26164909568 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 6164909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538452000).

6164909568 is an abundant number, since it is smaller than the sum of its proper divisors (12911994432).

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

6164909568 is a wasteful number, since it uses less digits than its factorization.

6164909568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6164909568 is about 78516.9380961841. The cubic root of 6164909568 is about 1833.6181681816.

The spelling of 6164909568 in words is "six billion, one hundred sixty-four million, nine hundred nine thousand, five hundred sixty-eight".