Search a number
-
+
2064910848 = 293711131779
BaseRepresentation
bin111101100010100…
…0000101000000000
312022220111100011120
41323011000220000
513212104121343
6540522112240
7102112311150
oct17305005000
95286440146
102064910848
1196a6520a0
1249764b680
1326ba53650
14158354760
15c1435683
hex7b140a00

2064910848 has 640 divisors, whose sum is σ = 7919493120. Its totient is φ = 460062720.

The previous prime is 2064910847. The next prime is 2064910853. The reversal of 2064910848 is 8480194602.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2064910843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26138073 + ... + 26138151.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 22064910848 is an apocalyptic number.

2064910848 is a gapful number since it is divisible by the number (28) 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 2064910848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560).

2064910848 is an abundant number, since it is smaller than the sum of its proper divisors (5854582272).

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

2064910848 is a wasteful number, since it uses less digits than its factorization.

2064910848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2064910848 is about 45441.2901225306. The cubic root of 2064910848 is about 1273.4066160931.

The spelling of 2064910848 in words is "two billion, sixty-four million, nine hundred ten thousand, eight hundred forty-eight".