Search a number
-
+
1918395648 = 283213193371
BaseRepresentation
bin111001001011000…
…0110010100000000
311221200210121002200
41302112012110000
512412102130043
6514205513200
765353044141
oct16226062400
94850717080
101918395648
118a4980054
12456572800
132475a4970
14142ad5ac8
15b36437d3
hex72586500

1918395648 has 216 divisors, whose sum is σ = 6272054880. Its totient is φ = 559042560.

The previous prime is 1918395641. The next prime is 1918395659. The reversal of 1918395648 is 8465938191.

1918395648 is a `hidden beast` number, since 191 + 8 + 395 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1918395594 and 1918395603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918395641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567403 + ... + 570773.

Almost surely, 21918395648 is an apocalyptic number.

1918395648 is a gapful number since it is divisible by the number (18) 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 1918395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136027440).

1918395648 is an abundant number, since it is smaller than the sum of its proper divisors (4353659232).

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

1918395648 is a wasteful number, since it uses less digits than its factorization.

1918395648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3408 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 1918395648 is about 43799.4936957038. The cubic root of 1918395648 is about 1242.5467187812.

The spelling of 1918395648 in words is "one billion, nine hundred eighteen million, three hundred ninety-five thousand, six hundred forty-eight".