Search a number
-
+
6775398144 = 283317232109
BaseRepresentation
bin1100100111101100…
…00101111100000000
3122111012002212222000
412103312011330000
5102334000220034
63040152144000
7326620635234
oct62366057400
918435085860
106775398144
1129675989a9
121391098000
1383c916a38
14483bb25c4
15299c50599
hex193d85f00

6775398144 has 432 divisors, whose sum is σ = 22380573600. Its totient is φ = 2014543872.

The previous prime is 6775398131. The next prime is 6775398193. The reversal of 6775398144 is 4418935776.

6775398144 is a `hidden beast` number, since 67 + 7 + 539 + 8 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 62159562 + ... + 62159670.

Almost surely, 26775398144 is an apocalyptic number.

6775398144 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 6775398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190286800).

6775398144 is an abundant number, since it is smaller than the sum of its proper divisors (15605175456).

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

6775398144 is a wasteful number, since it uses less digits than its factorization.

6775398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 154 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 6775398144 is about 82312.8066828000. The cubic root of 6775398144 is about 1892.2489529930.

The spelling of 6775398144 in words is "six billion, seven hundred seventy-five million, three hundred ninety-eight thousand, one hundred forty-four".