Search a number
-
+
6163486464 = 283293179113
BaseRepresentation
bin1011011110101111…
…10101011100000000
3120220112200112221110
411233113311130000
5100110323031324
62455332523320
7305510525202
oct55727653400
916815615843
106163486464
112683144673
121240180540
13772c0a415
14426808772
1526117d329
hex16f5f5700

6163486464 has 288 divisors, whose sum is σ = 17895628800. Its totient is φ = 1878589440.

The previous prime is 6163486463. The next prime is 6163486477. The reversal of 6163486464 is 4646843616.

It is a super-2 number, since 2×61634864642 = 75977130783822446592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6163486463) 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, 54544072 + ... + 54544184.

It is an arithmetic number, because the mean of its divisors is an integer number (62137600).

Almost surely, 26163486464 is an apocalyptic number.

6163486464 is a gapful number since it is divisible by the number (64) 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 6163486464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8947814400).

6163486464 is an abundant number, since it is smaller than the sum of its proper divisors (11732142336).

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

6163486464 is a wasteful number, since it uses less digits than its factorization.

6163486464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 6163486464 is about 78507.8751718578. The cubic root of 6163486464 is about 1833.4770668871.

The spelling of 6163486464 in words is "six billion, one hundred sixty-three million, four hundred eighty-six thousand, four hundred sixty-four".